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Finding the Third Proportional to 239,872 and 352,032

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Solution

The third proportional to 239,872 and 352,032 is: 516,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,872 : 352,032 = 352,032 : x
  2. Step 2: Convert to fraction form
    239,872/352,032 = 352,032/x
  3. Step 3: Cross multiply
    239,872x = 352,032 × 352,032
  4. Step 4: Simplify right side
    239,872x = 123,926,529,024
  5. Step 5: Solve for x
    x = 123,926,529,024/239,872
  6. Step 6: Final answer
    x = 516,636.08

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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.