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Finding the Third Proportional to 381,160.13 and 561,181.50

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Solution

The third proportional to 381,160.13 and 561,181.50 is: 826,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,160.13 : 561,181.50 = 561,181.50 : x
  2. Step 2: Convert to fraction form
    381,160.13/561,181.50 = 561,181.50/x
  3. Step 3: Cross multiply
    381,160.13x = 561,181.50 × 561,181.50
  4. Step 4: Simplify right side
    381,160.13x = 314,924,675,942.25
  5. Step 5: Solve for x
    x = 314,924,675,942.25/381,160.13
  6. Step 6: Final answer
    x = 826,226.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.