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Finding the Third Proportional to 164,076.26 and 347,869.69

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Solution

The third proportional to 164,076.26 and 347,869.69 is: 737,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,076.26 : 347,869.69 = 347,869.69 : x
  2. Step 2: Convert to fraction form
    164,076.26/347,869.69 = 347,869.69/x
  3. Step 3: Cross multiply
    164,076.26x = 347,869.69 × 347,869.69
  4. Step 4: Simplify right side
    164,076.26x = 121,013,319,481.35
  5. Step 5: Solve for x
    x = 121,013,319,481.35/164,076.26
  6. Step 6: Final answer
    x = 737,543.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.