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Finding the Third Proportional to 187,274.25 and 412,723.13

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Solution

The third proportional to 187,274.25 and 412,723.13 is: 909,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,274.25 : 412,723.13 = 412,723.13 : x
  2. Step 2: Convert to fraction form
    187,274.25/412,723.13 = 412,723.13/x
  3. Step 3: Cross multiply
    187,274.25x = 412,723.13 × 412,723.13
  4. Step 4: Simplify right side
    187,274.25x = 170,340,377,909.77
  5. Step 5: Solve for x
    x = 170,340,377,909.77/187,274.25
  6. Step 6: Final answer
    x = 909,577.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.