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Finding the Third Proportional to 155,745 and 234,661.50

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Solution

The third proportional to 155,745 and 234,661.50 is: 353,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,745 : 234,661.50 = 234,661.50 : x
  2. Step 2: Convert to fraction form
    155,745/234,661.50 = 234,661.50/x
  3. Step 3: Cross multiply
    155,745x = 234,661.50 × 234,661.50
  4. Step 4: Simplify right side
    155,745x = 55,066,019,582.25
  5. Step 5: Solve for x
    x = 55,066,019,582.25/155,745
  6. Step 6: Final answer
    x = 353,565.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.