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Finding the Third Proportional to 163,578 and 239,967

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Solution

The third proportional to 163,578 and 239,967 is: 352,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,578 : 239,967 = 239,967 : x
  2. Step 2: Convert to fraction form
    163,578/239,967 = 239,967/x
  3. Step 3: Cross multiply
    163,578x = 239,967 × 239,967
  4. Step 4: Simplify right side
    163,578x = 57,584,161,089
  5. Step 5: Solve for x
    x = 57,584,161,089/163,578
  6. Step 6: Final answer
    x = 352,028.76

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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.