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Finding the Third Proportional to 131,514.14 and 283,309.29

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Solution

The third proportional to 131,514.14 and 283,309.29 is: 610,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,514.14 : 283,309.29 = 283,309.29 : x
  2. Step 2: Convert to fraction form
    131,514.14/283,309.29 = 283,309.29/x
  3. Step 3: Cross multiply
    131,514.14x = 283,309.29 × 283,309.29
  4. Step 4: Simplify right side
    131,514.14x = 80,264,151,609.08
  5. Step 5: Solve for x
    x = 80,264,151,609.08/131,514.14
  6. Step 6: Final answer
    x = 610,308.15

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Why These Related Problems?

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