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Finding the Third Proportional to 109,420.03 and 237,520.69

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Solution

The third proportional to 109,420.03 and 237,520.69 is: 515,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,420.03 : 237,520.69 = 237,520.69 : x
  2. Step 2: Convert to fraction form
    109,420.03/237,520.69 = 237,520.69/x
  3. Step 3: Cross multiply
    109,420.03x = 237,520.69 × 237,520.69
  4. Step 4: Simplify right side
    109,420.03x = 56,416,076,990.47
  5. Step 5: Solve for x
    x = 56,416,076,990.47/109,420.03
  6. Step 6: Final answer
    x = 515,591.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.