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Finding the Third Proportional to 113,218 and 239,922

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Solution

The third proportional to 113,218 and 239,922 is: 508,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,218 : 239,922 = 239,922 : x
  2. Step 2: Convert to fraction form
    113,218/239,922 = 239,922/x
  3. Step 3: Cross multiply
    113,218x = 239,922 × 239,922
  4. Step 4: Simplify right side
    113,218x = 57,562,566,084
  5. Step 5: Solve for x
    x = 57,562,566,084/113,218
  6. Step 6: Final answer
    x = 508,422.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.