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Finding the Third Proportional to 88,251 and 191,244

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Solution

The third proportional to 88,251 and 191,244 is: 414,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,251 : 191,244 = 191,244 : x
  2. Step 2: Convert to fraction form
    88,251/191,244 = 191,244/x
  3. Step 3: Cross multiply
    88,251x = 191,244 × 191,244
  4. Step 4: Simplify right side
    88,251x = 36,574,267,536
  5. Step 5: Solve for x
    x = 36,574,267,536/88,251
  6. Step 6: Final answer
    x = 414,434.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.