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Finding the Third Proportional to 137,958 and 294,249

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Solution

The third proportional to 137,958 and 294,249 is: 627,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,958 : 294,249 = 294,249 : x
  2. Step 2: Convert to fraction form
    137,958/294,249 = 294,249/x
  3. Step 3: Cross multiply
    137,958x = 294,249 × 294,249
  4. Step 4: Simplify right side
    137,958x = 86,582,474,001
  5. Step 5: Solve for x
    x = 86,582,474,001/137,958
  6. Step 6: Final answer
    x = 627,600.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.