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Finding the Third Proportional to 167,715 and 246,226.50

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Solution

The third proportional to 167,715 and 246,226.50 is: 361,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,715 : 246,226.50 = 246,226.50 : x
  2. Step 2: Convert to fraction form
    167,715/246,226.50 = 246,226.50/x
  3. Step 3: Cross multiply
    167,715x = 246,226.50 × 246,226.50
  4. Step 4: Simplify right side
    167,715x = 60,627,489,302.25
  5. Step 5: Solve for x
    x = 60,627,489,302.25/167,715
  6. Step 6: Final answer
    x = 361,491.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.