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Finding the Third Proportional to 149,229 and 312,876

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Solution

The third proportional to 149,229 and 312,876 is: 655,981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,229 : 312,876 = 312,876 : x
  2. Step 2: Convert to fraction form
    149,229/312,876 = 312,876/x
  3. Step 3: Cross multiply
    149,229x = 312,876 × 312,876
  4. Step 4: Simplify right side
    149,229x = 97,891,391,376
  5. Step 5: Solve for x
    x = 97,891,391,376/149,229
  6. Step 6: Final answer
    x = 655,981.02

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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.