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Finding the Third Proportional to 178,101.56 and 363,470.06

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Solution

The third proportional to 178,101.56 and 363,470.06 is: 741,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,101.56 : 363,470.06 = 363,470.06 : x
  2. Step 2: Convert to fraction form
    178,101.56/363,470.06 = 363,470.06/x
  3. Step 3: Cross multiply
    178,101.56x = 363,470.06 × 363,470.06
  4. Step 4: Simplify right side
    178,101.56x = 132,110,486,333.75
  5. Step 5: Solve for x
    x = 132,110,486,333.75/178,101.56
  6. Step 6: Final answer
    x = 741,770.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.