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Finding the Third Proportional to 159,026 and 337,012

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Solution

The third proportional to 159,026 and 337,012 is: 714,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,026 : 337,012 = 337,012 : x
  2. Step 2: Convert to fraction form
    159,026/337,012 = 337,012/x
  3. Step 3: Cross multiply
    159,026x = 337,012 × 337,012
  4. Step 4: Simplify right side
    159,026x = 113,577,088,144
  5. Step 5: Solve for x
    x = 113,577,088,144/159,026
  6. Step 6: Final answer
    x = 714,204.52

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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.