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Finding the Third Proportional to 169,680 and 365,586

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Solution

The third proportional to 169,680 and 365,586 is: 787,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,680 : 365,586 = 365,586 : x
  2. Step 2: Convert to fraction form
    169,680/365,586 = 365,586/x
  3. Step 3: Cross multiply
    169,680x = 365,586 × 365,586
  4. Step 4: Simplify right side
    169,680x = 133,653,123,396
  5. Step 5: Solve for x
    x = 133,653,123,396/169,680
  6. Step 6: Final answer
    x = 787,677.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.