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Finding the Third Proportional to 119,929 and 264,006

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Solution

The third proportional to 119,929 and 264,006 is: 581,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,929 : 264,006 = 264,006 : x
  2. Step 2: Convert to fraction form
    119,929/264,006 = 264,006/x
  3. Step 3: Cross multiply
    119,929x = 264,006 × 264,006
  4. Step 4: Simplify right side
    119,929x = 69,699,168,036
  5. Step 5: Solve for x
    x = 69,699,168,036/119,929
  6. Step 6: Final answer
    x = 581,170.26

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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.