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Finding the Third Proportional to 113,182 and 233,538

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Solution

The third proportional to 113,182 and 233,538 is: 481,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,182 : 233,538 = 233,538 : x
  2. Step 2: Convert to fraction form
    113,182/233,538 = 233,538/x
  3. Step 3: Cross multiply
    113,182x = 233,538 × 233,538
  4. Step 4: Simplify right side
    113,182x = 54,539,997,444
  5. Step 5: Solve for x
    x = 54,539,997,444/113,182
  6. Step 6: Final answer
    x = 481,878.72

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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.