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Finding the Third Proportional to 212,207.34 and 331,227.98

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Solution

The third proportional to 212,207.34 and 331,227.98 is: 517,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,207.34 : 331,227.98 = 331,227.98 : x
  2. Step 2: Convert to fraction form
    212,207.34/331,227.98 = 331,227.98/x
  3. Step 3: Cross multiply
    212,207.34x = 331,227.98 × 331,227.98
  4. Step 4: Simplify right side
    212,207.34x = 109,711,977,633.13
  5. Step 5: Solve for x
    x = 109,711,977,633.13/212,207.34
  6. Step 6: Final answer
    x = 517,003.68

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.