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Finding the Third Proportional to 239,108 and 335,106

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Solution

The third proportional to 239,108 and 335,106 is: 469,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,108 : 335,106 = 335,106 : x
  2. Step 2: Convert to fraction form
    239,108/335,106 = 335,106/x
  3. Step 3: Cross multiply
    239,108x = 335,106 × 335,106
  4. Step 4: Simplify right side
    239,108x = 112,296,031,236
  5. Step 5: Solve for x
    x = 112,296,031,236/239,108
  6. Step 6: Final answer
    x = 469,645.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.