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Finding the Third Proportional to 239,106 and 334,324.75

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Solution

The third proportional to 239,106 and 334,324.75 is: 467,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,106 : 334,324.75 = 334,324.75 : x
  2. Step 2: Convert to fraction form
    239,106/334,324.75 = 334,324.75/x
  3. Step 3: Cross multiply
    239,106x = 334,324.75 × 334,324.75
  4. Step 4: Simplify right side
    239,106x = 111,773,038,462.56
  5. Step 5: Solve for x
    x = 111,773,038,462.56/239,106
  6. Step 6: Final answer
    x = 467,462.29

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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.