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Finding the Third Proportional to 119,232.25 and 252,680

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Solution

The third proportional to 119,232.25 and 252,680 is: 535,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,232.25 : 252,680 = 252,680 : x
  2. Step 2: Convert to fraction form
    119,232.25/252,680 = 252,680/x
  3. Step 3: Cross multiply
    119,232.25x = 252,680 × 252,680
  4. Step 4: Simplify right side
    119,232.25x = 63,847,182,400
  5. Step 5: Solve for x
    x = 63,847,182,400/119,232.25
  6. Step 6: Final answer
    x = 535,485.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.