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Finding the Third Proportional to 239,858 and 352,011

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Solution

The third proportional to 239,858 and 352,011 is: 516,604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,858 : 352,011 = 352,011 : x
  2. Step 2: Convert to fraction form
    239,858/352,011 = 352,011/x
  3. Step 3: Cross multiply
    239,858x = 352,011 × 352,011
  4. Step 4: Simplify right side
    239,858x = 123,911,744,121
  5. Step 5: Solve for x
    x = 123,911,744,121/239,858
  6. Step 6: Final answer
    x = 516,604.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.