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Finding the Third Proportional to 166,297 and 224,740

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Solution

The third proportional to 166,297 and 224,740 is: 303,722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,297 : 224,740 = 224,740 : x
  2. Step 2: Convert to fraction form
    166,297/224,740 = 224,740/x
  3. Step 3: Cross multiply
    166,297x = 224,740 × 224,740
  4. Step 4: Simplify right side
    166,297x = 50,508,067,600
  5. Step 5: Solve for x
    x = 50,508,067,600/166,297
  6. Step 6: Final answer
    x = 303,722.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.