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Finding the Third Proportional to 125,306 and 260,936

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Solution

The third proportional to 125,306 and 260,936 is: 543,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,306 : 260,936 = 260,936 : x
  2. Step 2: Convert to fraction form
    125,306/260,936 = 260,936/x
  3. Step 3: Cross multiply
    125,306x = 260,936 × 260,936
  4. Step 4: Simplify right side
    125,306x = 68,087,596,096
  5. Step 5: Solve for x
    x = 68,087,596,096/125,306
  6. Step 6: Final answer
    x = 543,370.60

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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.