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Finding the Third Proportional to 219,001 and 242,041

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Solution

The third proportional to 219,001 and 242,041 is: 267,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,001 : 242,041 = 242,041 : x
  2. Step 2: Convert to fraction form
    219,001/242,041 = 242,041/x
  3. Step 3: Cross multiply
    219,001x = 242,041 × 242,041
  4. Step 4: Simplify right side
    219,001x = 58,583,845,681
  5. Step 5: Solve for x
    x = 58,583,845,681/219,001
  6. Step 6: Final answer
    x = 267,504.92

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.