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Finding the Third Proportional to 156,014 and 336,344

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Solution

The third proportional to 156,014 and 336,344 is: 725,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,014 : 336,344 = 336,344 : x
  2. Step 2: Convert to fraction form
    156,014/336,344 = 336,344/x
  3. Step 3: Cross multiply
    156,014x = 336,344 × 336,344
  4. Step 4: Simplify right side
    156,014x = 113,127,286,336
  5. Step 5: Solve for x
    x = 113,127,286,336/156,014
  6. Step 6: Final answer
    x = 725,109.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.