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Finding the Third Proportional to 174,553.50 and 266,906.63

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Solution

The third proportional to 174,553.50 and 266,906.63 is: 408,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,553.50 : 266,906.63 = 266,906.63 : x
  2. Step 2: Convert to fraction form
    174,553.50/266,906.63 = 266,906.63/x
  3. Step 3: Cross multiply
    174,553.50x = 266,906.63 × 266,906.63
  4. Step 4: Simplify right side
    174,553.50x = 71,239,146,468.89
  5. Step 5: Solve for x
    x = 71,239,146,468.89/174,553.50
  6. Step 6: Final answer
    x = 408,122.13

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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.