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Finding the Third Proportional to 156,132 and 367,443

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Solution

The third proportional to 156,132 and 367,443 is: 864,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,132 : 367,443 = 367,443 : x
  2. Step 2: Convert to fraction form
    156,132/367,443 = 367,443/x
  3. Step 3: Cross multiply
    156,132x = 367,443 × 367,443
  4. Step 4: Simplify right side
    156,132x = 135,014,358,249
  5. Step 5: Solve for x
    x = 135,014,358,249/156,132
  6. Step 6: Final answer
    x = 864,744.95

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.