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Finding the Third Proportional to 125,294.50 and 260,957

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Solution

The third proportional to 125,294.50 and 260,957 is: 543,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,294.50 : 260,957 = 260,957 : x
  2. Step 2: Convert to fraction form
    125,294.50/260,957 = 260,957/x
  3. Step 3: Cross multiply
    125,294.50x = 260,957 × 260,957
  4. Step 4: Simplify right side
    125,294.50x = 68,098,555,849
  5. Step 5: Solve for x
    x = 68,098,555,849/125,294.50
  6. Step 6: Final answer
    x = 543,507.94

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Why These Related Problems?

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