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Finding the Third Proportional to 169,137 and 267,619.50

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Solution

The third proportional to 169,137 and 267,619.50 is: 423,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,137 : 267,619.50 = 267,619.50 : x
  2. Step 2: Convert to fraction form
    169,137/267,619.50 = 267,619.50/x
  3. Step 3: Cross multiply
    169,137x = 267,619.50 × 267,619.50
  4. Step 4: Simplify right side
    169,137x = 71,620,196,780.25
  5. Step 5: Solve for x
    x = 71,620,196,780.25/169,137
  6. Step 6: Final answer
    x = 423,444.88

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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.