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Finding the Third Proportional to 119,976 and 262,548.75

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Solution

The third proportional to 119,976 and 262,548.75 is: 574,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,976 : 262,548.75 = 262,548.75 : x
  2. Step 2: Convert to fraction form
    119,976/262,548.75 = 262,548.75/x
  3. Step 3: Cross multiply
    119,976x = 262,548.75 × 262,548.75
  4. Step 4: Simplify right side
    119,976x = 68,931,846,126.56
  5. Step 5: Solve for x
    x = 68,931,846,126.56/119,976
  6. Step 6: Final answer
    x = 574,546.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.