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Finding the Third Proportional to 253,830.50 and 336,936.50

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Solution

The third proportional to 253,830.50 and 336,936.50 is: 447,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,830.50 : 336,936.50 = 336,936.50 : x
  2. Step 2: Convert to fraction form
    253,830.50/336,936.50 = 336,936.50/x
  3. Step 3: Cross multiply
    253,830.50x = 336,936.50 × 336,936.50
  4. Step 4: Simplify right side
    253,830.50x = 113,526,205,032.25
  5. Step 5: Solve for x
    x = 113,526,205,032.25/253,830.50
  6. Step 6: Final answer
    x = 447,252.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.