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Finding the Third Proportional to 245,934 and 348,651

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Solution

The third proportional to 245,934 and 348,651 is: 494,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,934 : 348,651 = 348,651 : x
  2. Step 2: Convert to fraction form
    245,934/348,651 = 348,651/x
  3. Step 3: Cross multiply
    245,934x = 348,651 × 348,651
  4. Step 4: Simplify right side
    245,934x = 121,557,519,801
  5. Step 5: Solve for x
    x = 121,557,519,801/245,934
  6. Step 6: Final answer
    x = 494,268.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.