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Finding the Third Proportional to 156,036 and 228,500

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Solution

The third proportional to 156,036 and 228,500 is: 334,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,036 : 228,500 = 228,500 : x
  2. Step 2: Convert to fraction form
    156,036/228,500 = 228,500/x
  3. Step 3: Cross multiply
    156,036x = 228,500 × 228,500
  4. Step 4: Simplify right side
    156,036x = 52,212,250,000
  5. Step 5: Solve for x
    x = 52,212,250,000/156,036
  6. Step 6: Final answer
    x = 334,616.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.