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Finding the Third Proportional to 156,062 and 337,036

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Solution

The third proportional to 156,062 and 337,036 is: 727,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,062 : 337,036 = 337,036 : x
  2. Step 2: Convert to fraction form
    156,062/337,036 = 337,036/x
  3. Step 3: Cross multiply
    156,062x = 337,036 × 337,036
  4. Step 4: Simplify right side
    156,062x = 113,593,265,296
  5. Step 5: Solve for x
    x = 113,593,265,296/156,062
  6. Step 6: Final answer
    x = 727,872.67

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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.