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Finding the Third Proportional to 167,101 and 347,972.50

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Solution

The third proportional to 167,101 and 347,972.50 is: 724,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,101 : 347,972.50 = 347,972.50 : x
  2. Step 2: Convert to fraction form
    167,101/347,972.50 = 347,972.50/x
  3. Step 3: Cross multiply
    167,101x = 347,972.50 × 347,972.50
  4. Step 4: Simplify right side
    167,101x = 121,084,860,756.25
  5. Step 5: Solve for x
    x = 121,084,860,756.25/167,101
  6. Step 6: Final answer
    x = 724,620.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.