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Finding the Third Proportional to 187,154 and 280,488

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Solution

The third proportional to 187,154 and 280,488 is: 420,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,154 : 280,488 = 280,488 : x
  2. Step 2: Convert to fraction form
    187,154/280,488 = 280,488/x
  3. Step 3: Cross multiply
    187,154x = 280,488 × 280,488
  4. Step 4: Simplify right side
    187,154x = 78,673,518,144
  5. Step 5: Solve for x
    x = 78,673,518,144/187,154
  6. Step 6: Final answer
    x = 420,367.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.