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Finding the Third Proportional to 187,951.50 and 291,472.50

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Solution

The third proportional to 187,951.50 and 291,472.50 is: 452,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,951.50 : 291,472.50 = 291,472.50 : x
  2. Step 2: Convert to fraction form
    187,951.50/291,472.50 = 291,472.50/x
  3. Step 3: Cross multiply
    187,951.50x = 291,472.50 × 291,472.50
  4. Step 4: Simplify right side
    187,951.50x = 84,956,218,256.25
  5. Step 5: Solve for x
    x = 84,956,218,256.25/187,951.50
  6. Step 6: Final answer
    x = 452,011.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.