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Finding the Third Proportional to 119,472 and 260,328

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Solution

The third proportional to 119,472 and 260,328 is: 567,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,472 : 260,328 = 260,328 : x
  2. Step 2: Convert to fraction form
    119,472/260,328 = 260,328/x
  3. Step 3: Cross multiply
    119,472x = 260,328 × 260,328
  4. Step 4: Simplify right side
    119,472x = 67,770,667,584
  5. Step 5: Solve for x
    x = 67,770,667,584/119,472
  6. Step 6: Final answer
    x = 567,251.47

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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.