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Finding the Third Proportional to 168,848 and 267,363

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Solution

The third proportional to 168,848 and 267,363 is: 423,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,848 : 267,363 = 267,363 : x
  2. Step 2: Convert to fraction form
    168,848/267,363 = 267,363/x
  3. Step 3: Cross multiply
    168,848x = 267,363 × 267,363
  4. Step 4: Simplify right side
    168,848x = 71,482,973,769
  5. Step 5: Solve for x
    x = 71,482,973,769/168,848
  6. Step 6: Final answer
    x = 423,356.95

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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.