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Finding the Third Proportional to 166,218.75 and 226,000.13

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Solution

The third proportional to 166,218.75 and 226,000.13 is: 307,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,218.75 : 226,000.13 = 226,000.13 : x
  2. Step 2: Convert to fraction form
    166,218.75/226,000.13 = 226,000.13/x
  3. Step 3: Cross multiply
    166,218.75x = 226,000.13 × 226,000.13
  4. Step 4: Simplify right side
    166,218.75x = 51,076,056,500.02
  5. Step 5: Solve for x
    x = 51,076,056,500.02/166,218.75
  6. Step 6: Final answer
    x = 307,282.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.