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Finding the Third Proportional to 78,198.75 and 167,467.50

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Solution

The third proportional to 78,198.75 and 167,467.50 is: 358,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.75 : 167,467.50 = 167,467.50 : x
  2. Step 2: Convert to fraction form
    78,198.75/167,467.50 = 167,467.50/x
  3. Step 3: Cross multiply
    78,198.75x = 167,467.50 × 167,467.50
  4. Step 4: Simplify right side
    78,198.75x = 28,045,363,556.25
  5. Step 5: Solve for x
    x = 28,045,363,556.25/78,198.75
  6. Step 6: Final answer
    x = 358,642.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.