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Finding the Third Proportional to 159,028 and 337,016

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Solution

The third proportional to 159,028 and 337,016 is: 714,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,028 : 337,016 = 337,016 : x
  2. Step 2: Convert to fraction form
    159,028/337,016 = 337,016/x
  3. Step 3: Cross multiply
    159,028x = 337,016 × 337,016
  4. Step 4: Simplify right side
    159,028x = 113,579,784,256
  5. Step 5: Solve for x
    x = 113,579,784,256/159,028
  6. Step 6: Final answer
    x = 714,212.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.