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Finding the Third Proportional to 164,200.50 and 253,550.25

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Solution

The third proportional to 164,200.50 and 253,550.25 is: 391,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,200.50 : 253,550.25 = 253,550.25 : x
  2. Step 2: Convert to fraction form
    164,200.50/253,550.25 = 253,550.25/x
  3. Step 3: Cross multiply
    164,200.50x = 253,550.25 × 253,550.25
  4. Step 4: Simplify right side
    164,200.50x = 64,287,729,275.06
  5. Step 5: Solve for x
    x = 64,287,729,275.06/164,200.50
  6. Step 6: Final answer
    x = 391,519.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.