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Finding the Third Proportional to 109,901.25 and 233,295.75

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Solution

The third proportional to 109,901.25 and 233,295.75 is: 495,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,901.25 : 233,295.75 = 233,295.75 : x
  2. Step 2: Convert to fraction form
    109,901.25/233,295.75 = 233,295.75/x
  3. Step 3: Cross multiply
    109,901.25x = 233,295.75 × 233,295.75
  4. Step 4: Simplify right side
    109,901.25x = 54,426,906,968.06
  5. Step 5: Solve for x
    x = 54,426,906,968.06/109,901.25
  6. Step 6: Final answer
    x = 495,234.65

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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.