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Finding the Third Proportional to 182,092.50 and 397,368

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Solution

The third proportional to 182,092.50 and 397,368 is: 867,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,092.50 : 397,368 = 397,368 : x
  2. Step 2: Convert to fraction form
    182,092.50/397,368 = 397,368/x
  3. Step 3: Cross multiply
    182,092.50x = 397,368 × 397,368
  4. Step 4: Simplify right side
    182,092.50x = 157,901,327,424
  5. Step 5: Solve for x
    x = 157,901,327,424/182,092.50
  6. Step 6: Final answer
    x = 867,148.99

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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.