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Finding the Third Proportional to 245,876 and 371,074

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Solution

The third proportional to 245,876 and 371,074 is: 560,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,876 : 371,074 = 371,074 : x
  2. Step 2: Convert to fraction form
    245,876/371,074 = 371,074/x
  3. Step 3: Cross multiply
    245,876x = 371,074 × 371,074
  4. Step 4: Simplify right side
    245,876x = 137,695,913,476
  5. Step 5: Solve for x
    x = 137,695,913,476/245,876
  6. Step 6: Final answer
    x = 560,021.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.