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Finding the Third Proportional to 132,224 and 201,436

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Solution

The third proportional to 132,224 and 201,436 is: 306,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,224 : 201,436 = 201,436 : x
  2. Step 2: Convert to fraction form
    132,224/201,436 = 201,436/x
  3. Step 3: Cross multiply
    132,224x = 201,436 × 201,436
  4. Step 4: Simplify right side
    132,224x = 40,576,462,096
  5. Step 5: Solve for x
    x = 40,576,462,096/132,224
  6. Step 6: Final answer
    x = 306,876.68

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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.