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Finding the Third Proportional to 73,267.50 and 170,167.50

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Solution

The third proportional to 73,267.50 and 170,167.50 is: 395,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,267.50 : 170,167.50 = 170,167.50 : x
  2. Step 2: Convert to fraction form
    73,267.50/170,167.50 = 170,167.50/x
  3. Step 3: Cross multiply
    73,267.50x = 170,167.50 × 170,167.50
  4. Step 4: Simplify right side
    73,267.50x = 28,956,978,056.25
  5. Step 5: Solve for x
    x = 28,956,978,056.25/73,267.50
  6. Step 6: Final answer
    x = 395,222.68

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.