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Finding the Third Proportional to 119,849 and 260,615

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Solution

The third proportional to 119,849 and 260,615 is: 566,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,849 : 260,615 = 260,615 : x
  2. Step 2: Convert to fraction form
    119,849/260,615 = 260,615/x
  3. Step 3: Cross multiply
    119,849x = 260,615 × 260,615
  4. Step 4: Simplify right side
    119,849x = 67,920,178,225
  5. Step 5: Solve for x
    x = 67,920,178,225/119,849
  6. Step 6: Final answer
    x = 566,714.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.