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Finding the Third Proportional to 116,661 and 240,576

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Solution

The third proportional to 116,661 and 240,576 is: 496,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,661 : 240,576 = 240,576 : x
  2. Step 2: Convert to fraction form
    116,661/240,576 = 240,576/x
  3. Step 3: Cross multiply
    116,661x = 240,576 × 240,576
  4. Step 4: Simplify right side
    116,661x = 57,876,811,776
  5. Step 5: Solve for x
    x = 57,876,811,776/116,661
  6. Step 6: Final answer
    x = 496,111.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.