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Finding the Third Proportional to 166,691 and 359,444

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Solution

The third proportional to 166,691 and 359,444 is: 775,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,691 : 359,444 = 359,444 : x
  2. Step 2: Convert to fraction form
    166,691/359,444 = 359,444/x
  3. Step 3: Cross multiply
    166,691x = 359,444 × 359,444
  4. Step 4: Simplify right side
    166,691x = 129,199,989,136
  5. Step 5: Solve for x
    x = 129,199,989,136/166,691
  6. Step 6: Final answer
    x = 775,086.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.