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Finding the Third Proportional to 187,809 and 442,901.25

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Solution

The third proportional to 187,809 and 442,901.25 is: 1,044,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,809 : 442,901.25 = 442,901.25 : x
  2. Step 2: Convert to fraction form
    187,809/442,901.25 = 442,901.25/x
  3. Step 3: Cross multiply
    187,809x = 442,901.25 × 442,901.25
  4. Step 4: Simplify right side
    187,809x = 196,161,517,251.56
  5. Step 5: Solve for x
    x = 196,161,517,251.56/187,809
  6. Step 6: Final answer
    x = 1,044,473.47

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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.