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Finding the Third Proportional to 151,336 and 329,344

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Solution

The third proportional to 151,336 and 329,344 is: 716,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,336 : 329,344 = 329,344 : x
  2. Step 2: Convert to fraction form
    151,336/329,344 = 329,344/x
  3. Step 3: Cross multiply
    151,336x = 329,344 × 329,344
  4. Step 4: Simplify right side
    151,336x = 108,467,470,336
  5. Step 5: Solve for x
    x = 108,467,470,336/151,336
  6. Step 6: Final answer
    x = 716,732.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.