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Finding the Third Proportional to 245,875 and 371,067

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Solution

The third proportional to 245,875 and 371,067 is: 560,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,875 : 371,067 = 371,067 : x
  2. Step 2: Convert to fraction form
    245,875/371,067 = 371,067/x
  3. Step 3: Cross multiply
    245,875x = 371,067 × 371,067
  4. Step 4: Simplify right side
    245,875x = 137,690,718,489
  5. Step 5: Solve for x
    x = 137,690,718,489/245,875
  6. Step 6: Final answer
    x = 560,002.92

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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.