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Finding the Third Proportional to 167,876 and 360,599.50

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Solution

The third proportional to 167,876 and 360,599.50 is: 774,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,876 : 360,599.50 = 360,599.50 : x
  2. Step 2: Convert to fraction form
    167,876/360,599.50 = 360,599.50/x
  3. Step 3: Cross multiply
    167,876x = 360,599.50 × 360,599.50
  4. Step 4: Simplify right side
    167,876x = 130,031,999,400.25
  5. Step 5: Solve for x
    x = 130,031,999,400.25/167,876
  6. Step 6: Final answer
    x = 774,571.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.