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Finding the Third Proportional to 187,071 and 424,079

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Solution

The third proportional to 187,071 and 424,079 is: 961,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,071 : 424,079 = 424,079 : x
  2. Step 2: Convert to fraction form
    187,071/424,079 = 424,079/x
  3. Step 3: Cross multiply
    187,071x = 424,079 × 424,079
  4. Step 4: Simplify right side
    187,071x = 179,842,998,241
  5. Step 5: Solve for x
    x = 179,842,998,241/187,071
  6. Step 6: Final answer
    x = 961,362.25

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.