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Finding the Third Proportional to 131,478 and 282,666

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Solution

The third proportional to 131,478 and 282,666 is: 607,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,478 : 282,666 = 282,666 : x
  2. Step 2: Convert to fraction form
    131,478/282,666 = 282,666/x
  3. Step 3: Cross multiply
    131,478x = 282,666 × 282,666
  4. Step 4: Simplify right side
    131,478x = 79,900,067,556
  5. Step 5: Solve for x
    x = 79,900,067,556/131,478
  6. Step 6: Final answer
    x = 607,706.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.