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Finding the Third Proportional to 110,715 and 176,253

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Solution

The third proportional to 110,715 and 176,253 is: 280,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,715 : 176,253 = 176,253 : x
  2. Step 2: Convert to fraction form
    110,715/176,253 = 176,253/x
  3. Step 3: Cross multiply
    110,715x = 176,253 × 176,253
  4. Step 4: Simplify right side
    110,715x = 31,065,120,009
  5. Step 5: Solve for x
    x = 31,065,120,009/110,715
  6. Step 6: Final answer
    x = 280,586.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.