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Finding the Third Proportional to 174,614.50 and 258,648.75

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Solution

The third proportional to 174,614.50 and 258,648.75 is: 383,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,614.50 : 258,648.75 = 258,648.75 : x
  2. Step 2: Convert to fraction form
    174,614.50/258,648.75 = 258,648.75/x
  3. Step 3: Cross multiply
    174,614.50x = 258,648.75 × 258,648.75
  4. Step 4: Simplify right side
    174,614.50x = 66,899,175,876.56
  5. Step 5: Solve for x
    x = 66,899,175,876.56/174,614.50
  6. Step 6: Final answer
    x = 383,124.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.