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Finding the Third Proportional to 187,967.25 and 443,569.50

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Solution

The third proportional to 187,967.25 and 443,569.50 is: 1,046,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,967.25 : 443,569.50 = 443,569.50 : x
  2. Step 2: Convert to fraction form
    187,967.25/443,569.50 = 443,569.50/x
  3. Step 3: Cross multiply
    187,967.25x = 443,569.50 × 443,569.50
  4. Step 4: Simplify right side
    187,967.25x = 196,753,901,330.25
  5. Step 5: Solve for x
    x = 196,753,901,330.25/187,967.25
  6. Step 6: Final answer
    x = 1,046,745.65

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.