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Finding the Third Proportional to 111,040 and 226,202

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Solution

The third proportional to 111,040 and 226,202 is: 460,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,040 : 226,202 = 226,202 : x
  2. Step 2: Convert to fraction form
    111,040/226,202 = 226,202/x
  3. Step 3: Cross multiply
    111,040x = 226,202 × 226,202
  4. Step 4: Simplify right side
    111,040x = 51,167,344,804
  5. Step 5: Solve for x
    x = 51,167,344,804/111,040
  6. Step 6: Final answer
    x = 460,801.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.