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Finding the Third Proportional to 167,994.75 and 260,117.25

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Solution

The third proportional to 167,994.75 and 260,117.25 is: 402,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,994.75 : 260,117.25 = 260,117.25 : x
  2. Step 2: Convert to fraction form
    167,994.75/260,117.25 = 260,117.25/x
  3. Step 3: Cross multiply
    167,994.75x = 260,117.25 × 260,117.25
  4. Step 4: Simplify right side
    167,994.75x = 67,660,983,747.56
  5. Step 5: Solve for x
    x = 67,660,983,747.56/167,994.75
  6. Step 6: Final answer
    x = 402,756.54

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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.