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Finding the Third Proportional to 133,420 and 200,616

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Solution

The third proportional to 133,420 and 200,616 is: 301,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,420 : 200,616 = 200,616 : x
  2. Step 2: Convert to fraction form
    133,420/200,616 = 200,616/x
  3. Step 3: Cross multiply
    133,420x = 200,616 × 200,616
  4. Step 4: Simplify right side
    133,420x = 40,246,779,456
  5. Step 5: Solve for x
    x = 40,246,779,456/133,420
  6. Step 6: Final answer
    x = 301,654.77

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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.