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Finding the Third Proportional to 137,474 and 206,576

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Solution

The third proportional to 137,474 and 206,576 is: 310,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,474 : 206,576 = 206,576 : x
  2. Step 2: Convert to fraction form
    137,474/206,576 = 206,576/x
  3. Step 3: Cross multiply
    137,474x = 206,576 × 206,576
  4. Step 4: Simplify right side
    137,474x = 42,673,643,776
  5. Step 5: Solve for x
    x = 42,673,643,776/137,474
  6. Step 6: Final answer
    x = 310,412.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.