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Finding the Third Proportional to 155,797.50 and 233,432.25

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Solution

The third proportional to 155,797.50 and 233,432.25 is: 349,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,797.50 : 233,432.25 = 233,432.25 : x
  2. Step 2: Convert to fraction form
    155,797.50/233,432.25 = 233,432.25/x
  3. Step 3: Cross multiply
    155,797.50x = 233,432.25 × 233,432.25
  4. Step 4: Simplify right side
    155,797.50x = 54,490,615,340.06
  5. Step 5: Solve for x
    x = 54,490,615,340.06/155,797.50
  6. Step 6: Final answer
    x = 349,752.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.