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Finding the Third Proportional to 243,876 and 366,464

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Solution

The third proportional to 243,876 and 366,464 is: 550,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,876 : 366,464 = 366,464 : x
  2. Step 2: Convert to fraction form
    243,876/366,464 = 366,464/x
  3. Step 3: Cross multiply
    243,876x = 366,464 × 366,464
  4. Step 4: Simplify right side
    243,876x = 134,295,863,296
  5. Step 5: Solve for x
    x = 134,295,863,296/243,876
  6. Step 6: Final answer
    x = 550,672.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.