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Finding the Third Proportional to 132,248.25 and 284,379.75

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Solution

The third proportional to 132,248.25 and 284,379.75 is: 611,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,248.25 : 284,379.75 = 284,379.75 : x
  2. Step 2: Convert to fraction form
    132,248.25/284,379.75 = 284,379.75/x
  3. Step 3: Cross multiply
    132,248.25x = 284,379.75 × 284,379.75
  4. Step 4: Simplify right side
    132,248.25x = 80,871,842,210.06
  5. Step 5: Solve for x
    x = 80,871,842,210.06/132,248.25
  6. Step 6: Final answer
    x = 611,515.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.