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Finding the Third Proportional to 109,396 and 239,040

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Solution

The third proportional to 109,396 and 239,040 is: 522,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,396 : 239,040 = 239,040 : x
  2. Step 2: Convert to fraction form
    109,396/239,040 = 239,040/x
  3. Step 3: Cross multiply
    109,396x = 239,040 × 239,040
  4. Step 4: Simplify right side
    109,396x = 57,140,121,600
  5. Step 5: Solve for x
    x = 57,140,121,600/109,396
  6. Step 6: Final answer
    x = 522,323.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.