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Finding the Third Proportional to 166,347 and 364,578

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Solution

The third proportional to 166,347 and 364,578 is: 799,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,347 : 364,578 = 364,578 : x
  2. Step 2: Convert to fraction form
    166,347/364,578 = 364,578/x
  3. Step 3: Cross multiply
    166,347x = 364,578 × 364,578
  4. Step 4: Simplify right side
    166,347x = 132,917,118,084
  5. Step 5: Solve for x
    x = 132,917,118,084/166,347
  6. Step 6: Final answer
    x = 799,035.26

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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.