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Finding the Third Proportional to 119,593 and 260,207

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Solution

The third proportional to 119,593 and 260,207 is: 566,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,593 : 260,207 = 260,207 : x
  2. Step 2: Convert to fraction form
    119,593/260,207 = 260,207/x
  3. Step 3: Cross multiply
    119,593x = 260,207 × 260,207
  4. Step 4: Simplify right side
    119,593x = 67,707,682,849
  5. Step 5: Solve for x
    x = 67,707,682,849/119,593
  6. Step 6: Final answer
    x = 566,150.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.