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Finding the Third Proportional to 222.50 and 402

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Solution

The third proportional to 222.50 and 402 is: 726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.50 : 402 = 402 : x
  2. Step 2: Convert to fraction form
    222.50/402 = 402/x
  3. Step 3: Cross multiply
    222.50x = 402 × 402
  4. Step 4: Simplify right side
    222.50x = 161,604
  5. Step 5: Solve for x
    x = 161,604/222.50
  6. Step 6: Final answer
    x = 726.31

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.