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Finding the Third Proportional to 162,997.31 and 343,693.13

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Solution

The third proportional to 162,997.31 and 343,693.13 is: 724,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,997.31 : 343,693.13 = 343,693.13 : x
  2. Step 2: Convert to fraction form
    162,997.31/343,693.13 = 343,693.13/x
  3. Step 3: Cross multiply
    162,997.31x = 343,693.13 × 343,693.13
  4. Step 4: Simplify right side
    162,997.31x = 118,124,964,172.27
  5. Step 5: Solve for x
    x = 118,124,964,172.27/162,997.31
  6. Step 6: Final answer
    x = 724,704.98

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Why These Related Problems?

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