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Finding the Third Proportional to 98,325 and 149,299.88

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Solution

The third proportional to 98,325 and 149,299.88 is: 226,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,325 : 149,299.88 = 149,299.88 : x
  2. Step 2: Convert to fraction form
    98,325/149,299.88 = 149,299.88/x
  3. Step 3: Cross multiply
    98,325x = 149,299.88 × 149,299.88
  4. Step 4: Simplify right side
    98,325x = 22,290,452,675.02
  5. Step 5: Solve for x
    x = 22,290,452,675.02/98,325
  6. Step 6: Final answer
    x = 226,701.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.