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Finding the Third Proportional to 177,074.25 and 267,093.50

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Solution

The third proportional to 177,074.25 and 267,093.50 is: 402,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,074.25 : 267,093.50 = 267,093.50 : x
  2. Step 2: Convert to fraction form
    177,074.25/267,093.50 = 267,093.50/x
  3. Step 3: Cross multiply
    177,074.25x = 267,093.50 × 267,093.50
  4. Step 4: Simplify right side
    177,074.25x = 71,338,937,742.25
  5. Step 5: Solve for x
    x = 71,338,937,742.25/177,074.25
  6. Step 6: Final answer
    x = 402,875.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.