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Finding the Third Proportional to 243,062.44 and 367,951.78

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Solution

The third proportional to 243,062.44 and 367,951.78 is: 557,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,062.44 : 367,951.78 = 367,951.78 : x
  2. Step 2: Convert to fraction form
    243,062.44/367,951.78 = 367,951.78/x
  3. Step 3: Cross multiply
    243,062.44x = 367,951.78 × 367,951.78
  4. Step 4: Simplify right side
    243,062.44x = 135,388,513,325.05
  5. Step 5: Solve for x
    x = 135,388,513,325.05/243,062.44
  6. Step 6: Final answer
    x = 557,011.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.