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Finding the Third Proportional to 131,472 and 200,616

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Solution

The third proportional to 131,472 and 200,616 is: 306,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,472 : 200,616 = 200,616 : x
  2. Step 2: Convert to fraction form
    131,472/200,616 = 200,616/x
  3. Step 3: Cross multiply
    131,472x = 200,616 × 200,616
  4. Step 4: Simplify right side
    131,472x = 40,246,779,456
  5. Step 5: Solve for x
    x = 40,246,779,456/131,472
  6. Step 6: Final answer
    x = 306,124.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.