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Finding the Third Proportional to 165,751.31 and 361,864.13

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Solution

The third proportional to 165,751.31 and 361,864.13 is: 790,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,751.31 : 361,864.13 = 361,864.13 : x
  2. Step 2: Convert to fraction form
    165,751.31/361,864.13 = 361,864.13/x
  3. Step 3: Cross multiply
    165,751.31x = 361,864.13 × 361,864.13
  4. Step 4: Simplify right side
    165,751.31x = 130,945,644,962.02
  5. Step 5: Solve for x
    x = 130,945,644,962.02/165,751.31
  6. Step 6: Final answer
    x = 790,012.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.