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Finding the Third Proportional to 237,520.76 and 368,091.77

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Solution

The third proportional to 237,520.76 and 368,091.77 is: 570,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,520.76 : 368,091.77 = 368,091.77 : x
  2. Step 2: Convert to fraction form
    237,520.76/368,091.77 = 368,091.77/x
  3. Step 3: Cross multiply
    237,520.76x = 368,091.77 × 368,091.77
  4. Step 4: Simplify right side
    237,520.76x = 135,491,553,672.36
  5. Step 5: Solve for x
    x = 135,491,553,672.36/237,520.76
  6. Step 6: Final answer
    x = 570,440.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.