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Finding the Third Proportional to 166,044 and 259,434

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Solution

The third proportional to 166,044 and 259,434 is: 405,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,044 : 259,434 = 259,434 : x
  2. Step 2: Convert to fraction form
    166,044/259,434 = 259,434/x
  3. Step 3: Cross multiply
    166,044x = 259,434 × 259,434
  4. Step 4: Simplify right side
    166,044x = 67,306,000,356
  5. Step 5: Solve for x
    x = 67,306,000,356/166,044
  6. Step 6: Final answer
    x = 405,350.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.