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Finding the Third Proportional to 169,042 and 259,853

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Solution

The third proportional to 169,042 and 259,853 is: 399,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,042 : 259,853 = 259,853 : x
  2. Step 2: Convert to fraction form
    169,042/259,853 = 259,853/x
  3. Step 3: Cross multiply
    169,042x = 259,853 × 259,853
  4. Step 4: Simplify right side
    169,042x = 67,523,581,609
  5. Step 5: Solve for x
    x = 67,523,581,609/169,042
  6. Step 6: Final answer
    x = 399,448.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.