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Finding the Third Proportional to 159,551 and 340,221

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Solution

The third proportional to 159,551 and 340,221 is: 725,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,551 : 340,221 = 340,221 : x
  2. Step 2: Convert to fraction form
    159,551/340,221 = 340,221/x
  3. Step 3: Cross multiply
    159,551x = 340,221 × 340,221
  4. Step 4: Simplify right side
    159,551x = 115,750,328,841
  5. Step 5: Solve for x
    x = 115,750,328,841/159,551
  6. Step 6: Final answer
    x = 725,475.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.