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Finding the Third Proportional to 182,898 and 399,312

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Solution

The third proportional to 182,898 and 399,312 is: 871,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,898 : 399,312 = 399,312 : x
  2. Step 2: Convert to fraction form
    182,898/399,312 = 399,312/x
  3. Step 3: Cross multiply
    182,898x = 399,312 × 399,312
  4. Step 4: Simplify right side
    182,898x = 159,450,073,344
  5. Step 5: Solve for x
    x = 159,450,073,344/182,898
  6. Step 6: Final answer
    x = 871,797.80

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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.