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Finding the Third Proportional to 252,273.75 and 391,020.75

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Solution

The third proportional to 252,273.75 and 391,020.75 is: 606,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,273.75 : 391,020.75 = 391,020.75 : x
  2. Step 2: Convert to fraction form
    252,273.75/391,020.75 = 391,020.75/x
  3. Step 3: Cross multiply
    252,273.75x = 391,020.75 × 391,020.75
  4. Step 4: Simplify right side
    252,273.75x = 152,897,226,930.56
  5. Step 5: Solve for x
    x = 152,897,226,930.56/252,273.75
  6. Step 6: Final answer
    x = 606,076.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.