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Finding the Third Proportional to 170,712 and 226,530

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Solution

The third proportional to 170,712 and 226,530 is: 300,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,712 : 226,530 = 226,530 : x
  2. Step 2: Convert to fraction form
    170,712/226,530 = 226,530/x
  3. Step 3: Cross multiply
    170,712x = 226,530 × 226,530
  4. Step 4: Simplify right side
    170,712x = 51,315,840,900
  5. Step 5: Solve for x
    x = 51,315,840,900/170,712
  6. Step 6: Final answer
    x = 300,598.91

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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.