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Finding the Third Proportional to 169,142 and 371,764

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Solution

The third proportional to 169,142 and 371,764 is: 817,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,142 : 371,764 = 371,764 : x
  2. Step 2: Convert to fraction form
    169,142/371,764 = 371,764/x
  3. Step 3: Cross multiply
    169,142x = 371,764 × 371,764
  4. Step 4: Simplify right side
    169,142x = 138,208,471,696
  5. Step 5: Solve for x
    x = 138,208,471,696/169,142
  6. Step 6: Final answer
    x = 817,115.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.