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Finding the Third Proportional to 178,326.56 and 260,926.31

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Solution

The third proportional to 178,326.56 and 260,926.31 is: 381,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,326.56 : 260,926.31 = 260,926.31 : x
  2. Step 2: Convert to fraction form
    178,326.56/260,926.31 = 260,926.31/x
  3. Step 3: Cross multiply
    178,326.56x = 260,926.31 × 260,926.31
  4. Step 4: Simplify right side
    178,326.56x = 68,082,540,554.85
  5. Step 5: Solve for x
    x = 68,082,540,554.85/178,326.56
  6. Step 6: Final answer
    x = 381,785.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.