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Finding the Third Proportional to 83,484 and 183,654

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Solution

The third proportional to 83,484 and 183,654 is: 404,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,484 : 183,654 = 183,654 : x
  2. Step 2: Convert to fraction form
    83,484/183,654 = 183,654/x
  3. Step 3: Cross multiply
    83,484x = 183,654 × 183,654
  4. Step 4: Simplify right side
    83,484x = 33,728,791,716
  5. Step 5: Solve for x
    x = 33,728,791,716/83,484
  6. Step 6: Final answer
    x = 404,015.04

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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.