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Finding the Third Proportional to 156,492 and 228,177

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Solution

The third proportional to 156,492 and 228,177 is: 332,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,492 : 228,177 = 228,177 : x
  2. Step 2: Convert to fraction form
    156,492/228,177 = 228,177/x
  3. Step 3: Cross multiply
    156,492x = 228,177 × 228,177
  4. Step 4: Simplify right side
    156,492x = 52,064,743,329
  5. Step 5: Solve for x
    x = 52,064,743,329/156,492
  6. Step 6: Final answer
    x = 332,699.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.