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Finding the Third Proportional to 153,186 and 336,609

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Solution

The third proportional to 153,186 and 336,609 is: 739,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,186 : 336,609 = 336,609 : x
  2. Step 2: Convert to fraction form
    153,186/336,609 = 336,609/x
  3. Step 3: Cross multiply
    153,186x = 336,609 × 336,609
  4. Step 4: Simplify right side
    153,186x = 113,305,618,881
  5. Step 5: Solve for x
    x = 113,305,618,881/153,186
  6. Step 6: Final answer
    x = 739,660.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.