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Finding the Third Proportional to 130,934 and 282,766

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Solution

The third proportional to 130,934 and 282,766 is: 610,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,934 : 282,766 = 282,766 : x
  2. Step 2: Convert to fraction form
    130,934/282,766 = 282,766/x
  3. Step 3: Cross multiply
    130,934x = 282,766 × 282,766
  4. Step 4: Simplify right side
    130,934x = 79,956,610,756
  5. Step 5: Solve for x
    x = 79,956,610,756/130,934
  6. Step 6: Final answer
    x = 610,663.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.