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Finding the Third Proportional to 239,884 and 352,050

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Solution

The third proportional to 239,884 and 352,050 is: 516,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,884 : 352,050 = 352,050 : x
  2. Step 2: Convert to fraction form
    239,884/352,050 = 352,050/x
  3. Step 3: Cross multiply
    239,884x = 352,050 × 352,050
  4. Step 4: Simplify right side
    239,884x = 123,939,202,500
  5. Step 5: Solve for x
    x = 123,939,202,500/239,884
  6. Step 6: Final answer
    x = 516,663.06

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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.