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Finding the Third Proportional to 172,566 and 353,496

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Solution

The third proportional to 172,566 and 353,496 is: 724,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,566 : 353,496 = 353,496 : x
  2. Step 2: Convert to fraction form
    172,566/353,496 = 353,496/x
  3. Step 3: Cross multiply
    172,566x = 353,496 × 353,496
  4. Step 4: Simplify right side
    172,566x = 124,959,422,016
  5. Step 5: Solve for x
    x = 124,959,422,016/172,566
  6. Step 6: Final answer
    x = 724,125.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.