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Finding the Third Proportional to 191,036 and 410,251

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Solution

The third proportional to 191,036 and 410,251 is: 881,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,036 : 410,251 = 410,251 : x
  2. Step 2: Convert to fraction form
    191,036/410,251 = 410,251/x
  3. Step 3: Cross multiply
    191,036x = 410,251 × 410,251
  4. Step 4: Simplify right side
    191,036x = 168,305,883,001
  5. Step 5: Solve for x
    x = 168,305,883,001/191,036
  6. Step 6: Final answer
    x = 881,016.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.