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Finding the Third Proportional to 156,933 and 228,106

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Solution

The third proportional to 156,933 and 228,106 is: 331,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,933 : 228,106 = 228,106 : x
  2. Step 2: Convert to fraction form
    156,933/228,106 = 228,106/x
  3. Step 3: Cross multiply
    156,933x = 228,106 × 228,106
  4. Step 4: Simplify right side
    156,933x = 52,032,347,236
  5. Step 5: Solve for x
    x = 52,032,347,236/156,933
  6. Step 6: Final answer
    x = 331,557.72

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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.