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Finding the Third Proportional to 239,226 and 371,475

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Solution

The third proportional to 239,226 and 371,475 is: 576,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,226 : 371,475 = 371,475 : x
  2. Step 2: Convert to fraction form
    239,226/371,475 = 371,475/x
  3. Step 3: Cross multiply
    239,226x = 371,475 × 371,475
  4. Step 4: Simplify right side
    239,226x = 137,993,675,625
  5. Step 5: Solve for x
    x = 137,993,675,625/239,226
  6. Step 6: Final answer
    x = 576,833.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.