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Finding the Third Proportional to 156,939 and 228,117

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Solution

The third proportional to 156,939 and 228,117 is: 331,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,939 : 228,117 = 228,117 : x
  2. Step 2: Convert to fraction form
    156,939/228,117 = 228,117/x
  3. Step 3: Cross multiply
    156,939x = 228,117 × 228,117
  4. Step 4: Simplify right side
    156,939x = 52,037,365,689
  5. Step 5: Solve for x
    x = 52,037,365,689/156,939
  6. Step 6: Final answer
    x = 331,577.02

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.