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Finding the Third Proportional to 177,818 and 386,162

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Solution

The third proportional to 177,818 and 386,162 is: 838,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,818 : 386,162 = 386,162 : x
  2. Step 2: Convert to fraction form
    177,818/386,162 = 386,162/x
  3. Step 3: Cross multiply
    177,818x = 386,162 × 386,162
  4. Step 4: Simplify right side
    177,818x = 149,121,090,244
  5. Step 5: Solve for x
    x = 149,121,090,244/177,818
  6. Step 6: Final answer
    x = 838,616.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.