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Finding the Third Proportional to 235,102.50 and 363,246.75

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Solution

The third proportional to 235,102.50 and 363,246.75 is: 561,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,102.50 : 363,246.75 = 363,246.75 : x
  2. Step 2: Convert to fraction form
    235,102.50/363,246.75 = 363,246.75/x
  3. Step 3: Cross multiply
    235,102.50x = 363,246.75 × 363,246.75
  4. Step 4: Simplify right side
    235,102.50x = 131,948,201,385.56
  5. Step 5: Solve for x
    x = 131,948,201,385.56/235,102.50
  6. Step 6: Final answer
    x = 561,236.91

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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.