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Finding the Third Proportional to 219,011 and 242,051

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Solution

The third proportional to 219,011 and 242,051 is: 267,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,011 : 242,051 = 242,051 : x
  2. Step 2: Convert to fraction form
    219,011/242,051 = 242,051/x
  3. Step 3: Cross multiply
    219,011x = 242,051 × 242,051
  4. Step 4: Simplify right side
    219,011x = 58,588,686,601
  5. Step 5: Solve for x
    x = 58,588,686,601/219,011
  6. Step 6: Final answer
    x = 267,514.81

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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.