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Finding the Third Proportional to 178,258.50 and 267,426

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Solution

The third proportional to 178,258.50 and 267,426 is: 401,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,258.50 : 267,426 = 267,426 : x
  2. Step 2: Convert to fraction form
    178,258.50/267,426 = 267,426/x
  3. Step 3: Cross multiply
    178,258.50x = 267,426 × 267,426
  4. Step 4: Simplify right side
    178,258.50x = 71,516,665,476
  5. Step 5: Solve for x
    x = 71,516,665,476/178,258.50
  6. Step 6: Final answer
    x = 401,196.38

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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.