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Finding the Third Proportional to 169,200 and 267,729

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Solution

The third proportional to 169,200 and 267,729 is: 423,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,200 : 267,729 = 267,729 : x
  2. Step 2: Convert to fraction form
    169,200/267,729 = 267,729/x
  3. Step 3: Cross multiply
    169,200x = 267,729 × 267,729
  4. Step 4: Simplify right side
    169,200x = 71,678,817,441
  5. Step 5: Solve for x
    x = 71,678,817,441/169,200
  6. Step 6: Final answer
    x = 423,633.67

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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.