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Finding the Third Proportional to 167,224.50 and 367,659

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Solution

The third proportional to 167,224.50 and 367,659 is: 808,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,224.50 : 367,659 = 367,659 : x
  2. Step 2: Convert to fraction form
    167,224.50/367,659 = 367,659/x
  3. Step 3: Cross multiply
    167,224.50x = 367,659 × 367,659
  4. Step 4: Simplify right side
    167,224.50x = 135,173,140,281
  5. Step 5: Solve for x
    x = 135,173,140,281/167,224.50
  6. Step 6: Final answer
    x = 808,333.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.