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Finding the Third Proportional to 119,932 and 264,011

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Solution

The third proportional to 119,932 and 264,011 is: 581,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,932 : 264,011 = 264,011 : x
  2. Step 2: Convert to fraction form
    119,932/264,011 = 264,011/x
  3. Step 3: Cross multiply
    119,932x = 264,011 × 264,011
  4. Step 4: Simplify right side
    119,932x = 69,701,808,121
  5. Step 5: Solve for x
    x = 69,701,808,121/119,932
  6. Step 6: Final answer
    x = 581,177.74

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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.