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Finding the Third Proportional to 178,540 and 371,876

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Solution

The third proportional to 178,540 and 371,876 is: 774,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,540 : 371,876 = 371,876 : x
  2. Step 2: Convert to fraction form
    178,540/371,876 = 371,876/x
  3. Step 3: Cross multiply
    178,540x = 371,876 × 371,876
  4. Step 4: Simplify right side
    178,540x = 138,291,759,376
  5. Step 5: Solve for x
    x = 138,291,759,376/178,540
  6. Step 6: Final answer
    x = 774,570.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.