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Finding the Third Proportional to 170,672 and 226,472

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Solution

The third proportional to 170,672 and 226,472 is: 300,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,672 : 226,472 = 226,472 : x
  2. Step 2: Convert to fraction form
    170,672/226,472 = 226,472/x
  3. Step 3: Cross multiply
    170,672x = 226,472 × 226,472
  4. Step 4: Simplify right side
    170,672x = 51,289,566,784
  5. Step 5: Solve for x
    x = 51,289,566,784/170,672
  6. Step 6: Final answer
    x = 300,515.41

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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.