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Finding the Third Proportional to 169,288.50 and 267,834.75

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Solution

The third proportional to 169,288.50 and 267,834.75 is: 423,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,288.50 : 267,834.75 = 267,834.75 : x
  2. Step 2: Convert to fraction form
    169,288.50/267,834.75 = 267,834.75/x
  3. Step 3: Cross multiply
    169,288.50x = 267,834.75 × 267,834.75
  4. Step 4: Simplify right side
    169,288.50x = 71,735,453,307.56
  5. Step 5: Solve for x
    x = 71,735,453,307.56/169,288.50
  6. Step 6: Final answer
    x = 423,746.76

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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.