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Finding the Third Proportional to 197,348 and 300,934

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Solution

The third proportional to 197,348 and 300,934 is: 458,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,348 : 300,934 = 300,934 : x
  2. Step 2: Convert to fraction form
    197,348/300,934 = 300,934/x
  3. Step 3: Cross multiply
    197,348x = 300,934 × 300,934
  4. Step 4: Simplify right side
    197,348x = 90,561,272,356
  5. Step 5: Solve for x
    x = 90,561,272,356/197,348
  6. Step 6: Final answer
    x = 458,891.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.