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Finding the Third Proportional to 182,694.38 and 398,588.06

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Solution

The third proportional to 182,694.38 and 398,588.06 is: 869,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,694.38 : 398,588.06 = 398,588.06 : x
  2. Step 2: Convert to fraction form
    182,694.38/398,588.06 = 398,588.06/x
  3. Step 3: Cross multiply
    182,694.38x = 398,588.06 × 398,588.06
  4. Step 4: Simplify right side
    182,694.38x = 158,872,443,567.50
  5. Step 5: Solve for x
    x = 158,872,443,567.50/182,694.38
  6. Step 6: Final answer
    x = 869,607.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.