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Finding the Third Proportional to 132,228 and 201,456

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Solution

The third proportional to 132,228 and 201,456 is: 306,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,228 : 201,456 = 201,456 : x
  2. Step 2: Convert to fraction form
    132,228/201,456 = 201,456/x
  3. Step 3: Cross multiply
    132,228x = 201,456 × 201,456
  4. Step 4: Simplify right side
    132,228x = 40,584,519,936
  5. Step 5: Solve for x
    x = 40,584,519,936/132,228
  6. Step 6: Final answer
    x = 306,928.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.