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Finding the Third Proportional to 226,059 and 341,998.50

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Solution

The third proportional to 226,059 and 341,998.50 is: 517,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,059 : 341,998.50 = 341,998.50 : x
  2. Step 2: Convert to fraction form
    226,059/341,998.50 = 341,998.50/x
  3. Step 3: Cross multiply
    226,059x = 341,998.50 × 341,998.50
  4. Step 4: Simplify right side
    226,059x = 116,962,974,002.25
  5. Step 5: Solve for x
    x = 116,962,974,002.25/226,059
  6. Step 6: Final answer
    x = 517,400.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.