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Finding the Third Proportional to 187,656.75 and 402,468.75

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Solution

The third proportional to 187,656.75 and 402,468.75 is: 863,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,656.75 : 402,468.75 = 402,468.75 : x
  2. Step 2: Convert to fraction form
    187,656.75/402,468.75 = 402,468.75/x
  3. Step 3: Cross multiply
    187,656.75x = 402,468.75 × 402,468.75
  4. Step 4: Simplify right side
    187,656.75x = 161,981,094,726.56
  5. Step 5: Solve for x
    x = 161,981,094,726.56/187,656.75
  6. Step 6: Final answer
    x = 863,177.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.