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Finding the Third Proportional to 119,772 and 259,200

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Solution

The third proportional to 119,772 and 259,200 is: 560,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,772 : 259,200 = 259,200 : x
  2. Step 2: Convert to fraction form
    119,772/259,200 = 259,200/x
  3. Step 3: Cross multiply
    119,772x = 259,200 × 259,200
  4. Step 4: Simplify right side
    119,772x = 67,184,640,000
  5. Step 5: Solve for x
    x = 67,184,640,000/119,772
  6. Step 6: Final answer
    x = 560,937.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.