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Finding the Third Proportional to 219,012 and 242,052

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Solution

The third proportional to 219,012 and 242,052 is: 267,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,012 : 242,052 = 242,052 : x
  2. Step 2: Convert to fraction form
    219,012/242,052 = 242,052/x
  3. Step 3: Cross multiply
    219,012x = 242,052 × 242,052
  4. Step 4: Simplify right side
    219,012x = 58,589,170,704
  5. Step 5: Solve for x
    x = 58,589,170,704/219,012
  6. Step 6: Final answer
    x = 267,515.80

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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.