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Finding the Third Proportional to 219,008 and 242,048

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Solution

The third proportional to 219,008 and 242,048 is: 267,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,008 : 242,048 = 242,048 : x
  2. Step 2: Convert to fraction form
    219,008/242,048 = 242,048/x
  3. Step 3: Cross multiply
    219,008x = 242,048 × 242,048
  4. Step 4: Simplify right side
    219,008x = 58,587,234,304
  5. Step 5: Solve for x
    x = 58,587,234,304/219,008
  6. Step 6: Final answer
    x = 267,511.85

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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.