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Finding the Third Proportional to 153,204 and 329,745

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Solution

The third proportional to 153,204 and 329,745 is: 709,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,204 : 329,745 = 329,745 : x
  2. Step 2: Convert to fraction form
    153,204/329,745 = 329,745/x
  3. Step 3: Cross multiply
    153,204x = 329,745 × 329,745
  4. Step 4: Simplify right side
    153,204x = 108,731,765,025
  5. Step 5: Solve for x
    x = 108,731,765,025/153,204
  6. Step 6: Final answer
    x = 709,718.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.