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Finding the Third Proportional to 172,059.19 and 261,004.78

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Solution

The third proportional to 172,059.19 and 261,004.78 is: 395,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,059.19 : 261,004.78 = 261,004.78 : x
  2. Step 2: Convert to fraction form
    172,059.19/261,004.78 = 261,004.78/x
  3. Step 3: Cross multiply
    172,059.19x = 261,004.78 × 261,004.78
  4. Step 4: Simplify right side
    172,059.19x = 68,123,495,835.36
  5. Step 5: Solve for x
    x = 68,123,495,835.36/172,059.19
  6. Step 6: Final answer
    x = 395,930.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.