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Finding the Third Proportional to 107,832 and 233,988

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Solution

The third proportional to 107,832 and 233,988 is: 507,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,832 : 233,988 = 233,988 : x
  2. Step 2: Convert to fraction form
    107,832/233,988 = 233,988/x
  3. Step 3: Cross multiply
    107,832x = 233,988 × 233,988
  4. Step 4: Simplify right side
    107,832x = 54,750,384,144
  5. Step 5: Solve for x
    x = 54,750,384,144/107,832
  6. Step 6: Final answer
    x = 507,737.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.