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Finding the Third Proportional to 187,320 and 287,238

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Solution

The third proportional to 187,320 and 287,238 is: 440,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,320 : 287,238 = 287,238 : x
  2. Step 2: Convert to fraction form
    187,320/287,238 = 287,238/x
  3. Step 3: Cross multiply
    187,320x = 287,238 × 287,238
  4. Step 4: Simplify right side
    187,320x = 82,505,668,644
  5. Step 5: Solve for x
    x = 82,505,668,644/187,320
  6. Step 6: Final answer
    x = 440,453.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.