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Finding the Third Proportional to 131,670 and 291,811

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Solution

The third proportional to 131,670 and 291,811 is: 646,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,670 : 291,811 = 291,811 : x
  2. Step 2: Convert to fraction form
    131,670/291,811 = 291,811/x
  3. Step 3: Cross multiply
    131,670x = 291,811 × 291,811
  4. Step 4: Simplify right side
    131,670x = 85,153,659,721
  5. Step 5: Solve for x
    x = 85,153,659,721/131,670
  6. Step 6: Final answer
    x = 646,720.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.