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Finding the Third Proportional to 108,908 and 233,576

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Solution

The third proportional to 108,908 and 233,576 is: 500,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,908 : 233,576 = 233,576 : x
  2. Step 2: Convert to fraction form
    108,908/233,576 = 233,576/x
  3. Step 3: Cross multiply
    108,908x = 233,576 × 233,576
  4. Step 4: Simplify right side
    108,908x = 54,557,747,776
  5. Step 5: Solve for x
    x = 54,557,747,776/108,908
  6. Step 6: Final answer
    x = 500,952.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.