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Finding the Third Proportional to 132,215 and 201,422

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Solution

The third proportional to 132,215 and 201,422 is: 306,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,215 : 201,422 = 201,422 : x
  2. Step 2: Convert to fraction form
    132,215/201,422 = 201,422/x
  3. Step 3: Cross multiply
    132,215x = 201,422 × 201,422
  4. Step 4: Simplify right side
    132,215x = 40,570,822,084
  5. Step 5: Solve for x
    x = 40,570,822,084/132,215
  6. Step 6: Final answer
    x = 306,854.91

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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.