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Finding the Third Proportional to 181,114 and 393,342

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Solution

The third proportional to 181,114 and 393,342 is: 854,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,114 : 393,342 = 393,342 : x
  2. Step 2: Convert to fraction form
    181,114/393,342 = 393,342/x
  3. Step 3: Cross multiply
    181,114x = 393,342 × 393,342
  4. Step 4: Simplify right side
    181,114x = 154,717,928,964
  5. Step 5: Solve for x
    x = 154,717,928,964/181,114
  6. Step 6: Final answer
    x = 854,257.15

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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.