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Finding the Third Proportional to 137,744 and 296,494

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Solution

The third proportional to 137,744 and 296,494 is: 638,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,744 : 296,494 = 296,494 : x
  2. Step 2: Convert to fraction form
    137,744/296,494 = 296,494/x
  3. Step 3: Cross multiply
    137,744x = 296,494 × 296,494
  4. Step 4: Simplify right side
    137,744x = 87,908,692,036
  5. Step 5: Solve for x
    x = 87,908,692,036/137,744
  6. Step 6: Final answer
    x = 638,203.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.