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Finding the Third Proportional to 110,882 and 197,140

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Solution

The third proportional to 110,882 and 197,140 is: 350,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,882 : 197,140 = 197,140 : x
  2. Step 2: Convert to fraction form
    110,882/197,140 = 197,140/x
  3. Step 3: Cross multiply
    110,882x = 197,140 × 197,140
  4. Step 4: Simplify right side
    110,882x = 38,864,179,600
  5. Step 5: Solve for x
    x = 38,864,179,600/110,882
  6. Step 6: Final answer
    x = 350,500.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.