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Finding the Third Proportional to 105,747 and 228,918

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Solution

The third proportional to 105,747 and 228,918 is: 495,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,747 : 228,918 = 228,918 : x
  2. Step 2: Convert to fraction form
    105,747/228,918 = 228,918/x
  3. Step 3: Cross multiply
    105,747x = 228,918 × 228,918
  4. Step 4: Simplify right side
    105,747x = 52,403,450,724
  5. Step 5: Solve for x
    x = 52,403,450,724/105,747
  6. Step 6: Final answer
    x = 495,554.96

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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.