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Finding the Third Proportional to 171,328.50 and 252,024.75

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Solution

The third proportional to 171,328.50 and 252,024.75 is: 370,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,328.50 : 252,024.75 = 252,024.75 : x
  2. Step 2: Convert to fraction form
    171,328.50/252,024.75 = 252,024.75/x
  3. Step 3: Cross multiply
    171,328.50x = 252,024.75 × 252,024.75
  4. Step 4: Simplify right side
    171,328.50x = 63,516,474,612.56
  5. Step 5: Solve for x
    x = 63,516,474,612.56/171,328.50
  6. Step 6: Final answer
    x = 370,729.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.