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Finding the Third Proportional to 110,208 and 239,088

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Solution

The third proportional to 110,208 and 239,088 is: 518,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,208 : 239,088 = 239,088 : x
  2. Step 2: Convert to fraction form
    110,208/239,088 = 239,088/x
  3. Step 3: Cross multiply
    110,208x = 239,088 × 239,088
  4. Step 4: Simplify right side
    110,208x = 57,163,071,744
  5. Step 5: Solve for x
    x = 57,163,071,744/110,208
  6. Step 6: Final answer
    x = 518,683.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.