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Finding the Third Proportional to 117,022 and 239,582

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Solution

The third proportional to 117,022 and 239,582 is: 490,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,022 : 239,582 = 239,582 : x
  2. Step 2: Convert to fraction form
    117,022/239,582 = 239,582/x
  3. Step 3: Cross multiply
    117,022x = 239,582 × 239,582
  4. Step 4: Simplify right side
    117,022x = 57,399,534,724
  5. Step 5: Solve for x
    x = 57,399,534,724/117,022
  6. Step 6: Final answer
    x = 490,502.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.