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Finding the Third Proportional to 169,042.50 and 261,612

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Solution

The third proportional to 169,042.50 and 261,612 is: 404,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,042.50 : 261,612 = 261,612 : x
  2. Step 2: Convert to fraction form
    169,042.50/261,612 = 261,612/x
  3. Step 3: Cross multiply
    169,042.50x = 261,612 × 261,612
  4. Step 4: Simplify right side
    169,042.50x = 68,440,838,544
  5. Step 5: Solve for x
    x = 68,440,838,544/169,042.50
  6. Step 6: Final answer
    x = 404,873.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.