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Finding the Third Proportional to 105,747 and 228,917

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Solution

The third proportional to 105,747 and 228,917 is: 495,550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,747 : 228,917 = 228,917 : x
  2. Step 2: Convert to fraction form
    105,747/228,917 = 228,917/x
  3. Step 3: Cross multiply
    105,747x = 228,917 × 228,917
  4. Step 4: Simplify right side
    105,747x = 52,402,992,889
  5. Step 5: Solve for x
    x = 52,402,992,889/105,747
  6. Step 6: Final answer
    x = 495,550.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.