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Finding the Third Proportional to 83,358 and 178,623

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Solution

The third proportional to 83,358 and 178,623 is: 382,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,358 : 178,623 = 178,623 : x
  2. Step 2: Convert to fraction form
    83,358/178,623 = 178,623/x
  3. Step 3: Cross multiply
    83,358x = 178,623 × 178,623
  4. Step 4: Simplify right side
    83,358x = 31,906,176,129
  5. Step 5: Solve for x
    x = 31,906,176,129/83,358
  6. Step 6: Final answer
    x = 382,760.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.