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Finding the Third Proportional to 169,564 and 365,372

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Solution

The third proportional to 169,564 and 365,372 is: 787,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,564 : 365,372 = 365,372 : x
  2. Step 2: Convert to fraction form
    169,564/365,372 = 365,372/x
  3. Step 3: Cross multiply
    169,564x = 365,372 × 365,372
  4. Step 4: Simplify right side
    169,564x = 133,496,698,384
  5. Step 5: Solve for x
    x = 133,496,698,384/169,564
  6. Step 6: Final answer
    x = 787,293.87

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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.