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Finding the Third Proportional to 197,616 and 306,452

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Solution

The third proportional to 197,616 and 306,452 is: 475,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,616 : 306,452 = 306,452 : x
  2. Step 2: Convert to fraction form
    197,616/306,452 = 306,452/x
  3. Step 3: Cross multiply
    197,616x = 306,452 × 306,452
  4. Step 4: Simplify right side
    197,616x = 93,912,828,304
  5. Step 5: Solve for x
    x = 93,912,828,304/197,616
  6. Step 6: Final answer
    x = 475,228.87

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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.