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Finding the Third Proportional to 169,581 and 368,687

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Solution

The third proportional to 169,581 and 368,687 is: 801,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,581 : 368,687 = 368,687 : x
  2. Step 2: Convert to fraction form
    169,581/368,687 = 368,687/x
  3. Step 3: Cross multiply
    169,581x = 368,687 × 368,687
  4. Step 4: Simplify right side
    169,581x = 135,930,103,969
  5. Step 5: Solve for x
    x = 135,930,103,969/169,581
  6. Step 6: Final answer
    x = 801,564.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.