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Finding the Third Proportional to 149,874 and 313,603

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Solution

The third proportional to 149,874 and 313,603 is: 656,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,874 : 313,603 = 313,603 : x
  2. Step 2: Convert to fraction form
    149,874/313,603 = 313,603/x
  3. Step 3: Cross multiply
    149,874x = 313,603 × 313,603
  4. Step 4: Simplify right side
    149,874x = 98,346,841,609
  5. Step 5: Solve for x
    x = 98,346,841,609/149,874
  6. Step 6: Final answer
    x = 656,196.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.