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Finding the Third Proportional to 134,607.23 and 208,401.61

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Solution

The third proportional to 134,607.23 and 208,401.61 is: 322,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,607.23 : 208,401.61 = 208,401.61 : x
  2. Step 2: Convert to fraction form
    134,607.23/208,401.61 = 208,401.61/x
  3. Step 3: Cross multiply
    134,607.23x = 208,401.61 × 208,401.61
  4. Step 4: Simplify right side
    134,607.23x = 43,431,230,790.09
  5. Step 5: Solve for x
    x = 43,431,230,790.09/134,607.23
  6. Step 6: Final answer
    x = 322,651.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.