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Finding the Third Proportional to 106,068 and 228,740

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Solution

The third proportional to 106,068 and 228,740 is: 493,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,068 : 228,740 = 228,740 : x
  2. Step 2: Convert to fraction form
    106,068/228,740 = 228,740/x
  3. Step 3: Cross multiply
    106,068x = 228,740 × 228,740
  4. Step 4: Simplify right side
    106,068x = 52,321,987,600
  5. Step 5: Solve for x
    x = 52,321,987,600/106,068
  6. Step 6: Final answer
    x = 493,287.21

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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.