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Finding the Third Proportional to 227,161.13 and 491,941.13

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Solution

The third proportional to 227,161.13 and 491,941.13 is: 1,065,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,161.13 : 491,941.13 = 491,941.13 : x
  2. Step 2: Convert to fraction form
    227,161.13/491,941.13 = 491,941.13/x
  3. Step 3: Cross multiply
    227,161.13x = 491,941.13 × 491,941.13
  4. Step 4: Simplify right side
    227,161.13x = 242,006,070,466.27
  5. Step 5: Solve for x
    x = 242,006,070,466.27/227,161.13
  6. Step 6: Final answer
    x = 1,065,349.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.