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Finding the Third Proportional to 156,932 and 336,328

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Solution

The third proportional to 156,932 and 336,328 is: 720,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,932 : 336,328 = 336,328 : x
  2. Step 2: Convert to fraction form
    156,932/336,328 = 336,328/x
  3. Step 3: Cross multiply
    156,932x = 336,328 × 336,328
  4. Step 4: Simplify right side
    156,932x = 113,116,523,584
  5. Step 5: Solve for x
    x = 113,116,523,584/156,932
  6. Step 6: Final answer
    x = 720,799.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.