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Finding the Third Proportional to 195,262 and 402,186

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Solution

The third proportional to 195,262 and 402,186 is: 828,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,262 : 402,186 = 402,186 : x
  2. Step 2: Convert to fraction form
    195,262/402,186 = 402,186/x
  3. Step 3: Cross multiply
    195,262x = 402,186 × 402,186
  4. Step 4: Simplify right side
    195,262x = 161,753,578,596
  5. Step 5: Solve for x
    x = 161,753,578,596/195,262
  6. Step 6: Final answer
    x = 828,392.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.