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Finding the Third Proportional to 84,292.52 and 180,579.38

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Solution

The third proportional to 84,292.52 and 180,579.38 is: 386,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,292.52 : 180,579.38 = 180,579.38 : x
  2. Step 2: Convert to fraction form
    84,292.52/180,579.38 = 180,579.38/x
  3. Step 3: Cross multiply
    84,292.52x = 180,579.38 × 180,579.38
  4. Step 4: Simplify right side
    84,292.52x = 32,608,910,675.39
  5. Step 5: Solve for x
    x = 32,608,910,675.39/84,292.52
  6. Step 6: Final answer
    x = 386,854.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.