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Finding the Third Proportional to 131,660.10 and 283,301.13

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Solution

The third proportional to 131,660.10 and 283,301.13 is: 609,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,660.10 : 283,301.13 = 283,301.13 : x
  2. Step 2: Convert to fraction form
    131,660.10/283,301.13 = 283,301.13/x
  3. Step 3: Cross multiply
    131,660.10x = 283,301.13 × 283,301.13
  4. Step 4: Simplify right side
    131,660.10x = 80,259,529,570.38
  5. Step 5: Solve for x
    x = 80,259,529,570.38/131,660.10
  6. Step 6: Final answer
    x = 609,596.47

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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.