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Finding the Third Proportional to 145,200.75 and 233,920.50

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Solution

The third proportional to 145,200.75 and 233,920.50 is: 376,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,200.75 : 233,920.50 = 233,920.50 : x
  2. Step 2: Convert to fraction form
    145,200.75/233,920.50 = 233,920.50/x
  3. Step 3: Cross multiply
    145,200.75x = 233,920.50 × 233,920.50
  4. Step 4: Simplify right side
    145,200.75x = 54,718,800,320.25
  5. Step 5: Solve for x
    x = 54,718,800,320.25/145,200.75
  6. Step 6: Final answer
    x = 376,849.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.