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Finding the Third Proportional to 125,294 and 260,956

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Solution

The third proportional to 125,294 and 260,956 is: 543,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,294 : 260,956 = 260,956 : x
  2. Step 2: Convert to fraction form
    125,294/260,956 = 260,956/x
  3. Step 3: Cross multiply
    125,294x = 260,956 × 260,956
  4. Step 4: Simplify right side
    125,294x = 68,098,033,936
  5. Step 5: Solve for x
    x = 68,098,033,936/125,294
  6. Step 6: Final answer
    x = 543,505.95

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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.