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Finding the Third Proportional to 107,438 and 233,992

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Solution

The third proportional to 107,438 and 233,992 is: 509,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,438 : 233,992 = 233,992 : x
  2. Step 2: Convert to fraction form
    107,438/233,992 = 233,992/x
  3. Step 3: Cross multiply
    107,438x = 233,992 × 233,992
  4. Step 4: Simplify right side
    107,438x = 54,752,256,064
  5. Step 5: Solve for x
    x = 54,752,256,064/107,438
  6. Step 6: Final answer
    x = 509,617.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.