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Finding the Third Proportional to 156,824 and 236,696

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Solution

The third proportional to 156,824 and 236,696 is: 357,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,824 : 236,696 = 236,696 : x
  2. Step 2: Convert to fraction form
    156,824/236,696 = 236,696/x
  3. Step 3: Cross multiply
    156,824x = 236,696 × 236,696
  4. Step 4: Simplify right side
    156,824x = 56,024,996,416
  5. Step 5: Solve for x
    x = 56,024,996,416/156,824
  6. Step 6: Final answer
    x = 357,247.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.