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Finding the Third Proportional to 164,910.94 and 252,699.75

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Solution

The third proportional to 164,910.94 and 252,699.75 is: 387,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,910.94 : 252,699.75 = 252,699.75 : x
  2. Step 2: Convert to fraction form
    164,910.94/252,699.75 = 252,699.75/x
  3. Step 3: Cross multiply
    164,910.94x = 252,699.75 × 252,699.75
  4. Step 4: Simplify right side
    164,910.94x = 63,857,163,650.06
  5. Step 5: Solve for x
    x = 63,857,163,650.06/164,910.94
  6. Step 6: Final answer
    x = 387,222.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.