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Finding the Third Proportional to 239,890 and 352,051

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Solution

The third proportional to 239,890 and 352,051 is: 516,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,890 : 352,051 = 352,051 : x
  2. Step 2: Convert to fraction form
    239,890/352,051 = 352,051/x
  3. Step 3: Cross multiply
    239,890x = 352,051 × 352,051
  4. Step 4: Simplify right side
    239,890x = 123,939,906,601
  5. Step 5: Solve for x
    x = 123,939,906,601/239,890
  6. Step 6: Final answer
    x = 516,653.08

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