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Finding the Third Proportional to 119,612 and 260,257

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Solution

The third proportional to 119,612 and 260,257 is: 566,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,612 : 260,257 = 260,257 : x
  2. Step 2: Convert to fraction form
    119,612/260,257 = 260,257/x
  3. Step 3: Cross multiply
    119,612x = 260,257 × 260,257
  4. Step 4: Simplify right side
    119,612x = 67,733,706,049
  5. Step 5: Solve for x
    x = 67,733,706,049/119,612
  6. Step 6: Final answer
    x = 566,278.52

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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.