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Finding the Third Proportional to 154,019.50 and 337,074

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Solution

The third proportional to 154,019.50 and 337,074 is: 737,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,019.50 : 337,074 = 337,074 : x
  2. Step 2: Convert to fraction form
    154,019.50/337,074 = 337,074/x
  3. Step 3: Cross multiply
    154,019.50x = 337,074 × 337,074
  4. Step 4: Simplify right side
    154,019.50x = 113,618,881,476
  5. Step 5: Solve for x
    x = 113,618,881,476/154,019.50
  6. Step 6: Final answer
    x = 737,691.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.