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Finding the Third Proportional to 151,498 and 318,974

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Solution

The third proportional to 151,498 and 318,974 is: 671,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,498 : 318,974 = 318,974 : x
  2. Step 2: Convert to fraction form
    151,498/318,974 = 318,974/x
  3. Step 3: Cross multiply
    151,498x = 318,974 × 318,974
  4. Step 4: Simplify right side
    151,498x = 101,744,412,676
  5. Step 5: Solve for x
    x = 101,744,412,676/151,498
  6. Step 6: Final answer
    x = 671,589.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.