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Finding the Third Proportional to 169,549 and 365,341

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Solution

The third proportional to 169,549 and 365,341 is: 787,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,549 : 365,341 = 365,341 : x
  2. Step 2: Convert to fraction form
    169,549/365,341 = 365,341/x
  3. Step 3: Cross multiply
    169,549x = 365,341 × 365,341
  4. Step 4: Simplify right side
    169,549x = 133,474,046,281
  5. Step 5: Solve for x
    x = 133,474,046,281/169,549
  6. Step 6: Final answer
    x = 787,229.92

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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.