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Finding the Third Proportional to 167,662.50 and 253,659

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Solution

The third proportional to 167,662.50 and 253,659 is: 383,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,662.50 : 253,659 = 253,659 : x
  2. Step 2: Convert to fraction form
    167,662.50/253,659 = 253,659/x
  3. Step 3: Cross multiply
    167,662.50x = 253,659 × 253,659
  4. Step 4: Simplify right side
    167,662.50x = 64,342,888,281
  5. Step 5: Solve for x
    x = 64,342,888,281/167,662.50
  6. Step 6: Final answer
    x = 383,764.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.