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Finding the Third Proportional to 120,330.56 and 231,411.94

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Solution

The third proportional to 120,330.56 and 231,411.94 is: 445,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,330.56 : 231,411.94 = 231,411.94 : x
  2. Step 2: Convert to fraction form
    120,330.56/231,411.94 = 231,411.94/x
  3. Step 3: Cross multiply
    120,330.56x = 231,411.94 × 231,411.94
  4. Step 4: Simplify right side
    120,330.56x = 53,551,484,817.50
  5. Step 5: Solve for x
    x = 53,551,484,817.50/120,330.56
  6. Step 6: Final answer
    x = 445,036.44

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.