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Finding the Third Proportional to 84,780.42 and 178,286.06

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Solution

The third proportional to 84,780.42 and 178,286.06 is: 374,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,780.42 : 178,286.06 = 178,286.06 : x
  2. Step 2: Convert to fraction form
    84,780.42/178,286.06 = 178,286.06/x
  3. Step 3: Cross multiply
    84,780.42x = 178,286.06 × 178,286.06
  4. Step 4: Simplify right side
    84,780.42x = 31,785,920,081.75
  5. Step 5: Solve for x
    x = 31,785,920,081.75/84,780.42
  6. Step 6: Final answer
    x = 374,920.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.