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Finding the Third Proportional to 187,535.25 and 442,422

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Solution

The third proportional to 187,535.25 and 442,422 is: 1,043,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,535.25 : 442,422 = 442,422 : x
  2. Step 2: Convert to fraction form
    187,535.25/442,422 = 442,422/x
  3. Step 3: Cross multiply
    187,535.25x = 442,422 × 442,422
  4. Step 4: Simplify right side
    187,535.25x = 195,737,226,084
  5. Step 5: Solve for x
    x = 195,737,226,084/187,535.25
  6. Step 6: Final answer
    x = 1,043,735.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.