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Finding the Third Proportional to 132,213 and 201,419

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Solution

The third proportional to 132,213 and 201,419 is: 306,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,213 : 201,419 = 201,419 : x
  2. Step 2: Convert to fraction form
    132,213/201,419 = 201,419/x
  3. Step 3: Cross multiply
    132,213x = 201,419 × 201,419
  4. Step 4: Simplify right side
    132,213x = 40,569,613,561
  5. Step 5: Solve for x
    x = 40,569,613,561/132,213
  6. Step 6: Final answer
    x = 306,850.41

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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.