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Finding the Third Proportional to 166,300 and 364,791

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Solution

The third proportional to 166,300 and 364,791 is: 800,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,300 : 364,791 = 364,791 : x
  2. Step 2: Convert to fraction form
    166,300/364,791 = 364,791/x
  3. Step 3: Cross multiply
    166,300x = 364,791 × 364,791
  4. Step 4: Simplify right side
    166,300x = 133,072,473,681
  5. Step 5: Solve for x
    x = 133,072,473,681/166,300
  6. Step 6: Final answer
    x = 800,195.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.