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Finding the Third Proportional to 125,331.75 and 260,990.25

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Solution

The third proportional to 125,331.75 and 260,990.25 is: 543,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,331.75 : 260,990.25 = 260,990.25 : x
  2. Step 2: Convert to fraction form
    125,331.75/260,990.25 = 260,990.25/x
  3. Step 3: Cross multiply
    125,331.75x = 260,990.25 × 260,990.25
  4. Step 4: Simplify right side
    125,331.75x = 68,115,910,595.06
  5. Step 5: Solve for x
    x = 68,115,910,595.06/125,331.75
  6. Step 6: Final answer
    x = 543,484.88

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.