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Finding the Third Proportional to 106,843.50 and 228,510

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Solution

The third proportional to 106,843.50 and 228,510 is: 488,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,843.50 : 228,510 = 228,510 : x
  2. Step 2: Convert to fraction form
    106,843.50/228,510 = 228,510/x
  3. Step 3: Cross multiply
    106,843.50x = 228,510 × 228,510
  4. Step 4: Simplify right side
    106,843.50x = 52,216,820,100
  5. Step 5: Solve for x
    x = 52,216,820,100/106,843.50
  6. Step 6: Final answer
    x = 488,722.48

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