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Finding the Third Proportional to 168,504.05 and 260,222.63

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Solution

The third proportional to 168,504.05 and 260,222.63 is: 401,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,504.05 : 260,222.63 = 260,222.63 : x
  2. Step 2: Convert to fraction form
    168,504.05/260,222.63 = 260,222.63/x
  3. Step 3: Cross multiply
    168,504.05x = 260,222.63 × 260,222.63
  4. Step 4: Simplify right side
    168,504.05x = 67,715,814,561.89
  5. Step 5: Solve for x
    x = 67,715,814,561.89/168,504.05
  6. Step 6: Final answer
    x = 401,864.62

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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.