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Finding the Third Proportional to 133,702.50 and 200,581.50

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Solution

The third proportional to 133,702.50 and 200,581.50 is: 300,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,702.50 : 200,581.50 = 200,581.50 : x
  2. Step 2: Convert to fraction form
    133,702.50/200,581.50 = 200,581.50/x
  3. Step 3: Cross multiply
    133,702.50x = 200,581.50 × 200,581.50
  4. Step 4: Simplify right side
    133,702.50x = 40,232,938,142.25
  5. Step 5: Solve for x
    x = 40,232,938,142.25/133,702.50
  6. Step 6: Final answer
    x = 300,913.88

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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.