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Finding the Third Proportional to 83,866 and 183,284

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Solution

The third proportional to 83,866 and 183,284 is: 400,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,866 : 183,284 = 183,284 : x
  2. Step 2: Convert to fraction form
    83,866/183,284 = 183,284/x
  3. Step 3: Cross multiply
    83,866x = 183,284 × 183,284
  4. Step 4: Simplify right side
    83,866x = 33,593,024,656
  5. Step 5: Solve for x
    x = 33,593,024,656/83,866
  6. Step 6: Final answer
    x = 400,555.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.