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Finding the Third Proportional to 183,535.50 and 267,314

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Solution

The third proportional to 183,535.50 and 267,314 is: 389,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,535.50 : 267,314 = 267,314 : x
  2. Step 2: Convert to fraction form
    183,535.50/267,314 = 267,314/x
  3. Step 3: Cross multiply
    183,535.50x = 267,314 × 267,314
  4. Step 4: Simplify right side
    183,535.50x = 71,456,774,596
  5. Step 5: Solve for x
    x = 71,456,774,596/183,535.50
  6. Step 6: Final answer
    x = 389,334.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.