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Finding the Third Proportional to 157,574 and 250,569

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Solution

The third proportional to 157,574 and 250,569 is: 398,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,574 : 250,569 = 250,569 : x
  2. Step 2: Convert to fraction form
    157,574/250,569 = 250,569/x
  3. Step 3: Cross multiply
    157,574x = 250,569 × 250,569
  4. Step 4: Simplify right side
    157,574x = 62,784,823,761
  5. Step 5: Solve for x
    x = 62,784,823,761/157,574
  6. Step 6: Final answer
    x = 398,446.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.