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Finding the Third Proportional to 133,702 and 200,582

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Solution

The third proportional to 133,702 and 200,582 is: 300,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,702 : 200,582 = 200,582 : x
  2. Step 2: Convert to fraction form
    133,702/200,582 = 200,582/x
  3. Step 3: Cross multiply
    133,702x = 200,582 × 200,582
  4. Step 4: Simplify right side
    133,702x = 40,233,138,724
  5. Step 5: Solve for x
    x = 40,233,138,724/133,702
  6. Step 6: Final answer
    x = 300,916.51

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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.