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Finding the Third Proportional to 156,453.75 and 337,851

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Solution

The third proportional to 156,453.75 and 337,851 is: 729,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,453.75 : 337,851 = 337,851 : x
  2. Step 2: Convert to fraction form
    156,453.75/337,851 = 337,851/x
  3. Step 3: Cross multiply
    156,453.75x = 337,851 × 337,851
  4. Step 4: Simplify right side
    156,453.75x = 114,143,298,201
  5. Step 5: Solve for x
    x = 114,143,298,201/156,453.75
  6. Step 6: Final answer
    x = 729,565.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.