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Finding the Third Proportional to 83,788 and 176,194

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Solution

The third proportional to 83,788 and 176,194 is: 370,510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,788 : 176,194 = 176,194 : x
  2. Step 2: Convert to fraction form
    83,788/176,194 = 176,194/x
  3. Step 3: Cross multiply
    83,788x = 176,194 × 176,194
  4. Step 4: Simplify right side
    83,788x = 31,044,325,636
  5. Step 5: Solve for x
    x = 31,044,325,636/83,788
  6. Step 6: Final answer
    x = 370,510.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.