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Finding the Third Proportional to 87,427 and 205,283.50

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Solution

The third proportional to 87,427 and 205,283.50 is: 482,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,427 : 205,283.50 = 205,283.50 : x
  2. Step 2: Convert to fraction form
    87,427/205,283.50 = 205,283.50/x
  3. Step 3: Cross multiply
    87,427x = 205,283.50 × 205,283.50
  4. Step 4: Simplify right side
    87,427x = 42,141,315,372.25
  5. Step 5: Solve for x
    x = 42,141,315,372.25/87,427
  6. Step 6: Final answer
    x = 482,017.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.