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Finding the Third Proportional to 178,148 and 267,454

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Solution

The third proportional to 178,148 and 267,454 is: 401,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,148 : 267,454 = 267,454 : x
  2. Step 2: Convert to fraction form
    178,148/267,454 = 267,454/x
  3. Step 3: Cross multiply
    178,148x = 267,454 × 267,454
  4. Step 4: Simplify right side
    178,148x = 71,531,642,116
  5. Step 5: Solve for x
    x = 71,531,642,116/178,148
  6. Step 6: Final answer
    x = 401,529.30

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Why These Related Problems?

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