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Finding the Third Proportional to 105,726.75 and 228,983.75

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Solution

The third proportional to 105,726.75 and 228,983.75 is: 495,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,726.75 : 228,983.75 = 228,983.75 : x
  2. Step 2: Convert to fraction form
    105,726.75/228,983.75 = 228,983.75/x
  3. Step 3: Cross multiply
    105,726.75x = 228,983.75 × 228,983.75
  4. Step 4: Simplify right side
    105,726.75x = 52,433,557,764.06
  5. Step 5: Solve for x
    x = 52,433,557,764.06/105,726.75
  6. Step 6: Final answer
    x = 495,934.64

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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.