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Finding the Third Proportional to 83,266 and 183,140

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Solution

The third proportional to 83,266 and 183,140 is: 402,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266 : 183,140 = 183,140 : x
  2. Step 2: Convert to fraction form
    83,266/183,140 = 183,140/x
  3. Step 3: Cross multiply
    83,266x = 183,140 × 183,140
  4. Step 4: Simplify right side
    83,266x = 33,540,259,600
  5. Step 5: Solve for x
    x = 33,540,259,600/83,266
  6. Step 6: Final answer
    x = 402,808.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.