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Finding the Third Proportional to 156,969 and 228,160

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Solution

The third proportional to 156,969 and 228,160 is: 331,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,969 : 228,160 = 228,160 : x
  2. Step 2: Convert to fraction form
    156,969/228,160 = 228,160/x
  3. Step 3: Cross multiply
    156,969x = 228,160 × 228,160
  4. Step 4: Simplify right side
    156,969x = 52,056,985,600
  5. Step 5: Solve for x
    x = 52,056,985,600/156,969
  6. Step 6: Final answer
    x = 331,638.64

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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.