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Finding the Third Proportional to 119,856 and 266,317

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Solution

The third proportional to 119,856 and 266,317 is: 591,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,856 : 266,317 = 266,317 : x
  2. Step 2: Convert to fraction form
    119,856/266,317 = 266,317/x
  3. Step 3: Cross multiply
    119,856x = 266,317 × 266,317
  4. Step 4: Simplify right side
    119,856x = 70,924,744,489
  5. Step 5: Solve for x
    x = 70,924,744,489/119,856
  6. Step 6: Final answer
    x = 591,749.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.