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Finding the Third Proportional to 157,568 and 250,560

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Solution

The third proportional to 157,568 and 250,560 is: 398,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,568 : 250,560 = 250,560 : x
  2. Step 2: Convert to fraction form
    157,568/250,560 = 250,560/x
  3. Step 3: Cross multiply
    157,568x = 250,560 × 250,560
  4. Step 4: Simplify right side
    157,568x = 62,780,313,600
  5. Step 5: Solve for x
    x = 62,780,313,600/157,568
  6. Step 6: Final answer
    x = 398,433.14

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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.