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Finding the Third Proportional to 157,464 and 250,668

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Solution

The third proportional to 157,464 and 250,668 is: 399,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464 : 250,668 = 250,668 : x
  2. Step 2: Convert to fraction form
    157,464/250,668 = 250,668/x
  3. Step 3: Cross multiply
    157,464x = 250,668 × 250,668
  4. Step 4: Simplify right side
    157,464x = 62,834,446,224
  5. Step 5: Solve for x
    x = 62,834,446,224/157,464
  6. Step 6: Final answer
    x = 399,040.07

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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.