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Finding the Third Proportional to 128,414 and 170,436

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Solution

The third proportional to 128,414 and 170,436 is: 226,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,414 : 170,436 = 170,436 : x
  2. Step 2: Convert to fraction form
    128,414/170,436 = 170,436/x
  3. Step 3: Cross multiply
    128,414x = 170,436 × 170,436
  4. Step 4: Simplify right side
    128,414x = 29,048,430,096
  5. Step 5: Solve for x
    x = 29,048,430,096/128,414
  6. Step 6: Final answer
    x = 226,209.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.