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Finding the Third Proportional to 83,394 and 177,726

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Solution

The third proportional to 83,394 and 177,726 is: 378,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,394 : 177,726 = 177,726 : x
  2. Step 2: Convert to fraction form
    83,394/177,726 = 177,726/x
  3. Step 3: Cross multiply
    83,394x = 177,726 × 177,726
  4. Step 4: Simplify right side
    83,394x = 31,586,531,076
  5. Step 5: Solve for x
    x = 31,586,531,076/83,394
  6. Step 6: Final answer
    x = 378,762.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.