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Finding the Third Proportional to 169,730 and 353,398

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Solution

The third proportional to 169,730 and 353,398 is: 735,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,730 : 353,398 = 353,398 : x
  2. Step 2: Convert to fraction form
    169,730/353,398 = 353,398/x
  3. Step 3: Cross multiply
    169,730x = 353,398 × 353,398
  4. Step 4: Simplify right side
    169,730x = 124,890,146,404
  5. Step 5: Solve for x
    x = 124,890,146,404/169,730
  6. Step 6: Final answer
    x = 735,816.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.