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Finding the Third Proportional to 167,982 and 365,487.50

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Solution

The third proportional to 167,982 and 365,487.50 is: 795,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,982 : 365,487.50 = 365,487.50 : x
  2. Step 2: Convert to fraction form
    167,982/365,487.50 = 365,487.50/x
  3. Step 3: Cross multiply
    167,982x = 365,487.50 × 365,487.50
  4. Step 4: Simplify right side
    167,982x = 133,581,112,656.25
  5. Step 5: Solve for x
    x = 133,581,112,656.25/167,982
  6. Step 6: Final answer
    x = 795,210.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.