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Finding the Third Proportional to 156,947 and 228,127

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Solution

The third proportional to 156,947 and 228,127 is: 331,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,947 : 228,127 = 228,127 : x
  2. Step 2: Convert to fraction form
    156,947/228,127 = 228,127/x
  3. Step 3: Cross multiply
    156,947x = 228,127 × 228,127
  4. Step 4: Simplify right side
    156,947x = 52,041,928,129
  5. Step 5: Solve for x
    x = 52,041,928,129/156,947
  6. Step 6: Final answer
    x = 331,589.19

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Why These Related Problems?

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