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Finding the Third Proportional to 182,856 and 274,284

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Solution

The third proportional to 182,856 and 274,284 is: 411,426

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,856 : 274,284 = 274,284 : x
  2. Step 2: Convert to fraction form
    182,856/274,284 = 274,284/x
  3. Step 3: Cross multiply
    182,856x = 274,284 × 274,284
  4. Step 4: Simplify right side
    182,856x = 75,231,712,656
  5. Step 5: Solve for x
    x = 75,231,712,656/182,856
  6. Step 6: Final answer
    x = 411,426

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.