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Finding the Third Proportional to 87,413 and 185,284

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Solution

The third proportional to 87,413 and 185,284 is: 392,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,413 : 185,284 = 185,284 : x
  2. Step 2: Convert to fraction form
    87,413/185,284 = 185,284/x
  3. Step 3: Cross multiply
    87,413x = 185,284 × 185,284
  4. Step 4: Simplify right side
    87,413x = 34,330,160,656
  5. Step 5: Solve for x
    x = 34,330,160,656/87,413
  6. Step 6: Final answer
    x = 392,735.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.