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Finding the Third Proportional to 208,372.50 and 322,854.75

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Solution

The third proportional to 208,372.50 and 322,854.75 is: 500,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,372.50 : 322,854.75 = 322,854.75 : x
  2. Step 2: Convert to fraction form
    208,372.50/322,854.75 = 322,854.75/x
  3. Step 3: Cross multiply
    208,372.50x = 322,854.75 × 322,854.75
  4. Step 4: Simplify right side
    208,372.50x = 104,235,189,597.56
  5. Step 5: Solve for x
    x = 104,235,189,597.56/208,372.50
  6. Step 6: Final answer
    x = 500,234.87

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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.