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Finding the Third Proportional to 198,780.75 and 304,003.13

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Solution

The third proportional to 198,780.75 and 304,003.13 is: 464,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,780.75 : 304,003.13 = 304,003.13 : x
  2. Step 2: Convert to fraction form
    198,780.75/304,003.13 = 304,003.13/x
  3. Step 3: Cross multiply
    198,780.75x = 304,003.13 × 304,003.13
  4. Step 4: Simplify right side
    198,780.75x = 92,417,900,009.77
  5. Step 5: Solve for x
    x = 92,417,900,009.77/198,780.75
  6. Step 6: Final answer
    x = 464,923.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.