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Finding the Third Proportional to 173,474 and 369,850.50

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Solution

The third proportional to 173,474 and 369,850.50 is: 788,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,474 : 369,850.50 = 369,850.50 : x
  2. Step 2: Convert to fraction form
    173,474/369,850.50 = 369,850.50/x
  3. Step 3: Cross multiply
    173,474x = 369,850.50 × 369,850.50
  4. Step 4: Simplify right side
    173,474x = 136,789,392,350.25
  5. Step 5: Solve for x
    x = 136,789,392,350.25/173,474
  6. Step 6: Final answer
    x = 788,529.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.