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Finding the Third Proportional to 185,602 and 282,092

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Solution

The third proportional to 185,602 and 282,092 is: 428,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,602 : 282,092 = 282,092 : x
  2. Step 2: Convert to fraction form
    185,602/282,092 = 282,092/x
  3. Step 3: Cross multiply
    185,602x = 282,092 × 282,092
  4. Step 4: Simplify right side
    185,602x = 79,575,896,464
  5. Step 5: Solve for x
    x = 79,575,896,464/185,602
  6. Step 6: Final answer
    x = 428,744.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.