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Finding the Third Proportional to 152,718 and 232,317

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Solution

The third proportional to 152,718 and 232,317 is: 353,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,718 : 232,317 = 232,317 : x
  2. Step 2: Convert to fraction form
    152,718/232,317 = 232,317/x
  3. Step 3: Cross multiply
    152,718x = 232,317 × 232,317
  4. Step 4: Simplify right side
    152,718x = 53,971,188,489
  5. Step 5: Solve for x
    x = 53,971,188,489/152,718
  6. Step 6: Final answer
    x = 353,404.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.