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Finding the Third Proportional to 169,755 and 353,451

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Solution

The third proportional to 169,755 and 353,451 is: 735,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,755 : 353,451 = 353,451 : x
  2. Step 2: Convert to fraction form
    169,755/353,451 = 353,451/x
  3. Step 3: Cross multiply
    169,755x = 353,451 × 353,451
  4. Step 4: Simplify right side
    169,755x = 124,927,609,401
  5. Step 5: Solve for x
    x = 124,927,609,401/169,755
  6. Step 6: Final answer
    x = 735,928.89

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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.