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Finding the Third Proportional to 70,265.75 and 165,866.38

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Solution

The third proportional to 70,265.75 and 165,866.38 is: 391,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,265.75 : 165,866.38 = 165,866.38 : x
  2. Step 2: Convert to fraction form
    70,265.75/165,866.38 = 165,866.38/x
  3. Step 3: Cross multiply
    70,265.75x = 165,866.38 × 165,866.38
  4. Step 4: Simplify right side
    70,265.75x = 27,511,654,355.64
  5. Step 5: Solve for x
    x = 27,511,654,355.64/70,265.75
  6. Step 6: Final answer
    x = 391,537.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.