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Finding the Third Proportional to 156,957 and 228,142

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Solution

The third proportional to 156,957 and 228,142 is: 331,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957 : 228,142 = 228,142 : x
  2. Step 2: Convert to fraction form
    156,957/228,142 = 228,142/x
  3. Step 3: Cross multiply
    156,957x = 228,142 × 228,142
  4. Step 4: Simplify right side
    156,957x = 52,048,772,164
  5. Step 5: Solve for x
    x = 52,048,772,164/156,957
  6. Step 6: Final answer
    x = 331,611.67

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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.