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Finding the Third Proportional to 179,156 and 386,284

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Solution

The third proportional to 179,156 and 386,284 is: 832,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,156 : 386,284 = 386,284 : x
  2. Step 2: Convert to fraction form
    179,156/386,284 = 386,284/x
  3. Step 3: Cross multiply
    179,156x = 386,284 × 386,284
  4. Step 4: Simplify right side
    179,156x = 149,215,328,656
  5. Step 5: Solve for x
    x = 149,215,328,656/179,156
  6. Step 6: Final answer
    x = 832,879.33

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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.