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Finding the Third Proportional to 118,622 and 261,011

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Solution

The third proportional to 118,622 and 261,011 is: 574,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,622 : 261,011 = 261,011 : x
  2. Step 2: Convert to fraction form
    118,622/261,011 = 261,011/x
  3. Step 3: Cross multiply
    118,622x = 261,011 × 261,011
  4. Step 4: Simplify right side
    118,622x = 68,126,742,121
  5. Step 5: Solve for x
    x = 68,126,742,121/118,622
  6. Step 6: Final answer
    x = 574,317.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.