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Finding the Third Proportional to 105,306.75 and 228,480.75

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Solution

The third proportional to 105,306.75 and 228,480.75 is: 495,727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,306.75 : 228,480.75 = 228,480.75 : x
  2. Step 2: Convert to fraction form
    105,306.75/228,480.75 = 228,480.75/x
  3. Step 3: Cross multiply
    105,306.75x = 228,480.75 × 228,480.75
  4. Step 4: Simplify right side
    105,306.75x = 52,203,453,120.56
  5. Step 5: Solve for x
    x = 52,203,453,120.56/105,306.75
  6. Step 6: Final answer
    x = 495,727.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.