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Finding the Third Proportional to 156,972 and 228,164

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Solution

The third proportional to 156,972 and 228,164 is: 331,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 228,164 = 228,164 : x
  2. Step 2: Convert to fraction form
    156,972/228,164 = 228,164/x
  3. Step 3: Cross multiply
    156,972x = 228,164 × 228,164
  4. Step 4: Simplify right side
    156,972x = 52,058,810,896
  5. Step 5: Solve for x
    x = 52,058,810,896/156,972
  6. Step 6: Final answer
    x = 331,643.93

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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.