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Finding the Third Proportional to 178,328 and 267,528

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Solution

The third proportional to 178,328 and 267,528 is: 401,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,328 : 267,528 = 267,528 : x
  2. Step 2: Convert to fraction form
    178,328/267,528 = 267,528/x
  3. Step 3: Cross multiply
    178,328x = 267,528 × 267,528
  4. Step 4: Simplify right side
    178,328x = 71,571,230,784
  5. Step 5: Solve for x
    x = 71,571,230,784/178,328
  6. Step 6: Final answer
    x = 401,346.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.