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Finding the Third Proportional to 168,958 and 392,870

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Solution

The third proportional to 168,958 and 392,870 is: 913,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,958 : 392,870 = 392,870 : x
  2. Step 2: Convert to fraction form
    168,958/392,870 = 392,870/x
  3. Step 3: Cross multiply
    168,958x = 392,870 × 392,870
  4. Step 4: Simplify right side
    168,958x = 154,346,836,900
  5. Step 5: Solve for x
    x = 154,346,836,900/168,958
  6. Step 6: Final answer
    x = 913,521.92

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.