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Finding the Third Proportional to 179,433 and 386,514

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Solution

The third proportional to 179,433 and 386,514 is: 832,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,433 : 386,514 = 386,514 : x
  2. Step 2: Convert to fraction form
    179,433/386,514 = 386,514/x
  3. Step 3: Cross multiply
    179,433x = 386,514 × 386,514
  4. Step 4: Simplify right side
    179,433x = 149,393,072,196
  5. Step 5: Solve for x
    x = 149,393,072,196/179,433
  6. Step 6: Final answer
    x = 832,584.15

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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.