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Finding the Third Proportional to 166,809 and 357,756

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Solution

The third proportional to 166,809 and 357,756 is: 767,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,809 : 357,756 = 357,756 : x
  2. Step 2: Convert to fraction form
    166,809/357,756 = 357,756/x
  3. Step 3: Cross multiply
    166,809x = 357,756 × 357,756
  4. Step 4: Simplify right side
    166,809x = 127,989,355,536
  5. Step 5: Solve for x
    x = 127,989,355,536/166,809
  6. Step 6: Final answer
    x = 767,280.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.