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Finding the Third Proportional to 166,348 and 364,580

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Solution

The third proportional to 166,348 and 364,580 is: 799,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,348 : 364,580 = 364,580 : x
  2. Step 2: Convert to fraction form
    166,348/364,580 = 364,580/x
  3. Step 3: Cross multiply
    166,348x = 364,580 × 364,580
  4. Step 4: Simplify right side
    166,348x = 132,918,576,400
  5. Step 5: Solve for x
    x = 132,918,576,400/166,348
  6. Step 6: Final answer
    x = 799,039.22

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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.