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Finding the Third Proportional to 179,121 and 386,214

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Solution

The third proportional to 179,121 and 386,214 is: 832,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,121 : 386,214 = 386,214 : x
  2. Step 2: Convert to fraction form
    179,121/386,214 = 386,214/x
  3. Step 3: Cross multiply
    179,121x = 386,214 × 386,214
  4. Step 4: Simplify right side
    179,121x = 149,161,253,796
  5. Step 5: Solve for x
    x = 149,161,253,796/179,121
  6. Step 6: Final answer
    x = 832,740.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.