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Finding the Third Proportional to 74,397.66 and 165,348.84

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Solution

The third proportional to 74,397.66 and 165,348.84 is: 367,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,397.66 : 165,348.84 = 165,348.84 : x
  2. Step 2: Convert to fraction form
    74,397.66/165,348.84 = 165,348.84/x
  3. Step 3: Cross multiply
    74,397.66x = 165,348.84 × 165,348.84
  4. Step 4: Simplify right side
    74,397.66x = 27,340,240,129.46
  5. Step 5: Solve for x
    x = 27,340,240,129.46/74,397.66
  6. Step 6: Final answer
    x = 367,487.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.