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Finding the Third Proportional to 169,112 and 267,584

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Solution

The third proportional to 169,112 and 267,584 is: 423,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,112 : 267,584 = 267,584 : x
  2. Step 2: Convert to fraction form
    169,112/267,584 = 267,584/x
  3. Step 3: Cross multiply
    169,112x = 267,584 × 267,584
  4. Step 4: Simplify right side
    169,112x = 71,601,197,056
  5. Step 5: Solve for x
    x = 71,601,197,056/169,112
  6. Step 6: Final answer
    x = 423,395.13

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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.