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Finding the Third Proportional to 251,211.38 and 546,054.75

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Solution

The third proportional to 251,211.38 and 546,054.75 is: 1,186,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,211.38 : 546,054.75 = 546,054.75 : x
  2. Step 2: Convert to fraction form
    251,211.38/546,054.75 = 546,054.75/x
  3. Step 3: Cross multiply
    251,211.38x = 546,054.75 × 546,054.75
  4. Step 4: Simplify right side
    251,211.38x = 298,175,789,997.56
  5. Step 5: Solve for x
    x = 298,175,789,997.56/251,211.38
  6. Step 6: Final answer
    x = 1,186,951.79

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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.