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Finding the Third Proportional to 181,078 and 258,567

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Solution

The third proportional to 181,078 and 258,567 is: 369,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,078 : 258,567 = 258,567 : x
  2. Step 2: Convert to fraction form
    181,078/258,567 = 258,567/x
  3. Step 3: Cross multiply
    181,078x = 258,567 × 258,567
  4. Step 4: Simplify right side
    181,078x = 66,856,893,489
  5. Step 5: Solve for x
    x = 66,856,893,489/181,078
  6. Step 6: Final answer
    x = 369,215.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.