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Finding the Third Proportional to 239,616 and 371,100

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Solution

The third proportional to 239,616 and 371,100 is: 574,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,616 : 371,100 = 371,100 : x
  2. Step 2: Convert to fraction form
    239,616/371,100 = 371,100/x
  3. Step 3: Cross multiply
    239,616x = 371,100 × 371,100
  4. Step 4: Simplify right side
    239,616x = 137,715,210,000
  5. Step 5: Solve for x
    x = 137,715,210,000/239,616
  6. Step 6: Final answer
    x = 574,732.95

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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.