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Finding the Third Proportional to 168,896 and 267,428

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Solution

The third proportional to 168,896 and 267,428 is: 423,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,896 : 267,428 = 267,428 : x
  2. Step 2: Convert to fraction form
    168,896/267,428 = 267,428/x
  3. Step 3: Cross multiply
    168,896x = 267,428 × 267,428
  4. Step 4: Simplify right side
    168,896x = 71,517,735,184
  5. Step 5: Solve for x
    x = 71,517,735,184/168,896
  6. Step 6: Final answer
    x = 423,442.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.