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Finding the Third Proportional to 178,414.31 and 260,923.50

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Solution

The third proportional to 178,414.31 and 260,923.50 is: 381,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,414.31 : 260,923.50 = 260,923.50 : x
  2. Step 2: Convert to fraction form
    178,414.31/260,923.50 = 260,923.50/x
  3. Step 3: Cross multiply
    178,414.31x = 260,923.50 × 260,923.50
  4. Step 4: Simplify right side
    178,414.31x = 68,081,072,852.25
  5. Step 5: Solve for x
    x = 68,081,072,852.25/178,414.31
  6. Step 6: Final answer
    x = 381,589.75

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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.