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Finding the Third Proportional to 162,997.50 and 343,695

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Solution

The third proportional to 162,997.50 and 343,695 is: 724,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,997.50 : 343,695 = 343,695 : x
  2. Step 2: Convert to fraction form
    162,997.50/343,695 = 343,695/x
  3. Step 3: Cross multiply
    162,997.50x = 343,695 × 343,695
  4. Step 4: Simplify right side
    162,997.50x = 118,126,253,025
  5. Step 5: Solve for x
    x = 118,126,253,025/162,997.50
  6. Step 6: Final answer
    x = 724,712.05

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.