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Finding the Third Proportional to 105,980 and 220,576

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Solution

The third proportional to 105,980 and 220,576 is: 459,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,980 : 220,576 = 220,576 : x
  2. Step 2: Convert to fraction form
    105,980/220,576 = 220,576/x
  3. Step 3: Cross multiply
    105,980x = 220,576 × 220,576
  4. Step 4: Simplify right side
    105,980x = 48,653,771,776
  5. Step 5: Solve for x
    x = 48,653,771,776/105,980
  6. Step 6: Final answer
    x = 459,084.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.