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Finding the Third Proportional to 151,690 and 337,051

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Solution

The third proportional to 151,690 and 337,051 is: 748,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,690 : 337,051 = 337,051 : x
  2. Step 2: Convert to fraction form
    151,690/337,051 = 337,051/x
  3. Step 3: Cross multiply
    151,690x = 337,051 × 337,051
  4. Step 4: Simplify right side
    151,690x = 113,603,376,601
  5. Step 5: Solve for x
    x = 113,603,376,601/151,690
  6. Step 6: Final answer
    x = 748,918.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.