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Finding the Third Proportional to 166,672 and 359,406

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Solution

The third proportional to 166,672 and 359,406 is: 775,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,672 : 359,406 = 359,406 : x
  2. Step 2: Convert to fraction form
    166,672/359,406 = 359,406/x
  3. Step 3: Cross multiply
    166,672x = 359,406 × 359,406
  4. Step 4: Simplify right side
    166,672x = 129,172,672,836
  5. Step 5: Solve for x
    x = 129,172,672,836/166,672
  6. Step 6: Final answer
    x = 775,011.24

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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.