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Finding the Third Proportional to 156,640 and 252,214

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Solution

The third proportional to 156,640 and 252,214 is: 406,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,640 : 252,214 = 252,214 : x
  2. Step 2: Convert to fraction form
    156,640/252,214 = 252,214/x
  3. Step 3: Cross multiply
    156,640x = 252,214 × 252,214
  4. Step 4: Simplify right side
    156,640x = 63,611,901,796
  5. Step 5: Solve for x
    x = 63,611,901,796/156,640
  6. Step 6: Final answer
    x = 406,102.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.