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Finding the Third Proportional to 169,724 and 365,680

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Solution

The third proportional to 169,724 and 365,680 is: 787,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,724 : 365,680 = 365,680 : x
  2. Step 2: Convert to fraction form
    169,724/365,680 = 365,680/x
  3. Step 3: Cross multiply
    169,724x = 365,680 × 365,680
  4. Step 4: Simplify right side
    169,724x = 133,721,862,400
  5. Step 5: Solve for x
    x = 133,721,862,400/169,724
  6. Step 6: Final answer
    x = 787,878.33

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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.