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Finding the Third Proportional to 106,875 and 228,682

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Solution

The third proportional to 106,875 and 228,682 is: 489,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,875 : 228,682 = 228,682 : x
  2. Step 2: Convert to fraction form
    106,875/228,682 = 228,682/x
  3. Step 3: Cross multiply
    106,875x = 228,682 × 228,682
  4. Step 4: Simplify right side
    106,875x = 52,295,457,124
  5. Step 5: Solve for x
    x = 52,295,457,124/106,875
  6. Step 6: Final answer
    x = 489,314.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.