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Finding the Third Proportional to 156,975 and 228,169

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Solution

The third proportional to 156,975 and 228,169 is: 331,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,975 : 228,169 = 228,169 : x
  2. Step 2: Convert to fraction form
    156,975/228,169 = 228,169/x
  3. Step 3: Cross multiply
    156,975x = 228,169 × 228,169
  4. Step 4: Simplify right side
    156,975x = 52,061,092,561
  5. Step 5: Solve for x
    x = 52,061,092,561/156,975
  6. Step 6: Final answer
    x = 331,652.13

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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.