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Finding the Third Proportional to 131,780.25 and 282,150

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Solution

The third proportional to 131,780.25 and 282,150 is: 604,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,780.25 : 282,150 = 282,150 : x
  2. Step 2: Convert to fraction form
    131,780.25/282,150 = 282,150/x
  3. Step 3: Cross multiply
    131,780.25x = 282,150 × 282,150
  4. Step 4: Simplify right side
    131,780.25x = 79,608,622,500
  5. Step 5: Solve for x
    x = 79,608,622,500/131,780.25
  6. Step 6: Final answer
    x = 604,101.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.