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Finding the Third Proportional to 119,765.25 and 199,597.13

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Solution

The third proportional to 119,765.25 and 199,597.13 is: 332,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,765.25 : 199,597.13 = 199,597.13 : x
  2. Step 2: Convert to fraction form
    119,765.25/199,597.13 = 199,597.13/x
  3. Step 3: Cross multiply
    119,765.25x = 199,597.13 × 199,597.13
  4. Step 4: Simplify right side
    119,765.25x = 39,839,012,308.27
  5. Step 5: Solve for x
    x = 39,839,012,308.27/119,765.25
  6. Step 6: Final answer
    x = 332,642.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.