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Finding the Third Proportional to 169,258.50 and 262,929

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Solution

The third proportional to 169,258.50 and 262,929 is: 408,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,258.50 : 262,929 = 262,929 : x
  2. Step 2: Convert to fraction form
    169,258.50/262,929 = 262,929/x
  3. Step 3: Cross multiply
    169,258.50x = 262,929 × 262,929
  4. Step 4: Simplify right side
    169,258.50x = 69,131,659,041
  5. Step 5: Solve for x
    x = 69,131,659,041/169,258.50
  6. Step 6: Final answer
    x = 408,438.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.