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Finding the Third Proportional to 238,086 and 322,984.13

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Solution

The third proportional to 238,086 and 322,984.13 is: 438,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,086 : 322,984.13 = 322,984.13 : x
  2. Step 2: Convert to fraction form
    238,086/322,984.13 = 322,984.13/x
  3. Step 3: Cross multiply
    238,086x = 322,984.13 × 322,984.13
  4. Step 4: Simplify right side
    238,086x = 104,318,745,002.02
  5. Step 5: Solve for x
    x = 104,318,745,002.02/238,086
  6. Step 6: Final answer
    x = 438,155.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.