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Finding the Third Proportional to 157,632 and 250,945

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Solution

The third proportional to 157,632 and 250,945 is: 399,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,632 : 250,945 = 250,945 : x
  2. Step 2: Convert to fraction form
    157,632/250,945 = 250,945/x
  3. Step 3: Cross multiply
    157,632x = 250,945 × 250,945
  4. Step 4: Simplify right side
    157,632x = 62,973,393,025
  5. Step 5: Solve for x
    x = 62,973,393,025/157,632
  6. Step 6: Final answer
    x = 399,496.25

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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.