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Finding the Third Proportional to 125,248 and 260,836

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Solution

The third proportional to 125,248 and 260,836 is: 543,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,248 : 260,836 = 260,836 : x
  2. Step 2: Convert to fraction form
    125,248/260,836 = 260,836/x
  3. Step 3: Cross multiply
    125,248x = 260,836 × 260,836
  4. Step 4: Simplify right side
    125,248x = 68,035,418,896
  5. Step 5: Solve for x
    x = 68,035,418,896/125,248
  6. Step 6: Final answer
    x = 543,205.63

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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.