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Finding the Third Proportional to 83,238 and 183,444

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Solution

The third proportional to 83,238 and 183,444 is: 404,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238 : 183,444 = 183,444 : x
  2. Step 2: Convert to fraction form
    83,238/183,444 = 183,444/x
  3. Step 3: Cross multiply
    83,238x = 183,444 × 183,444
  4. Step 4: Simplify right side
    83,238x = 33,651,701,136
  5. Step 5: Solve for x
    x = 33,651,701,136/83,238
  6. Step 6: Final answer
    x = 404,282.91

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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.