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Finding the Third Proportional to 200,224 and 355,932

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Solution

The third proportional to 200,224 and 355,932 is: 632,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,224 : 355,932 = 355,932 : x
  2. Step 2: Convert to fraction form
    200,224/355,932 = 355,932/x
  3. Step 3: Cross multiply
    200,224x = 355,932 × 355,932
  4. Step 4: Simplify right side
    200,224x = 126,687,588,624
  5. Step 5: Solve for x
    x = 126,687,588,624/200,224
  6. Step 6: Final answer
    x = 632,729.29

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.