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Finding the Third Proportional to 113,784.75 and 234,920.25

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Solution

The third proportional to 113,784.75 and 234,920.25 is: 485,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,784.75 : 234,920.25 = 234,920.25 : x
  2. Step 2: Convert to fraction form
    113,784.75/234,920.25 = 234,920.25/x
  3. Step 3: Cross multiply
    113,784.75x = 234,920.25 × 234,920.25
  4. Step 4: Simplify right side
    113,784.75x = 55,187,523,860.06
  5. Step 5: Solve for x
    x = 55,187,523,860.06/113,784.75
  6. Step 6: Final answer
    x = 485,016.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.