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Finding the Third Proportional to 167,196.75 and 361,663.50

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Solution

The third proportional to 167,196.75 and 361,663.50 is: 782,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,196.75 : 361,663.50 = 361,663.50 : x
  2. Step 2: Convert to fraction form
    167,196.75/361,663.50 = 361,663.50/x
  3. Step 3: Cross multiply
    167,196.75x = 361,663.50 × 361,663.50
  4. Step 4: Simplify right side
    167,196.75x = 130,800,487,232.25
  5. Step 5: Solve for x
    x = 130,800,487,232.25/167,196.75
  6. Step 6: Final answer
    x = 782,314.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.