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Finding the Third Proportional to 83,264 and 183,136

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Solution

The third proportional to 83,264 and 183,136 is: 402,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264 : 183,136 = 183,136 : x
  2. Step 2: Convert to fraction form
    83,264/183,136 = 183,136/x
  3. Step 3: Cross multiply
    83,264x = 183,136 × 183,136
  4. Step 4: Simplify right side
    83,264x = 33,538,794,496
  5. Step 5: Solve for x
    x = 33,538,794,496/83,264
  6. Step 6: Final answer
    x = 402,800.66

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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.