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Finding the Third Proportional to 84,282 and 181,284

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Solution

The third proportional to 84,282 and 181,284 is: 389,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,282 : 181,284 = 181,284 : x
  2. Step 2: Convert to fraction form
    84,282/181,284 = 181,284/x
  3. Step 3: Cross multiply
    84,282x = 181,284 × 181,284
  4. Step 4: Simplify right side
    84,282x = 32,863,888,656
  5. Step 5: Solve for x
    x = 32,863,888,656/84,282
  6. Step 6: Final answer
    x = 389,927.73

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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.