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Finding the Third Proportional to 83,244 and 183,455

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Solution

The third proportional to 83,244 and 183,455 is: 404,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,244 : 183,455 = 183,455 : x
  2. Step 2: Convert to fraction form
    83,244/183,455 = 183,455/x
  3. Step 3: Cross multiply
    83,244x = 183,455 × 183,455
  4. Step 4: Simplify right side
    83,244x = 33,655,737,025
  5. Step 5: Solve for x
    x = 33,655,737,025/83,244
  6. Step 6: Final answer
    x = 404,302.26

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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.