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Finding the Third Proportional to 153,338 and 330,004

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Solution

The third proportional to 153,338 and 330,004 is: 710,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,338 : 330,004 = 330,004 : x
  2. Step 2: Convert to fraction form
    153,338/330,004 = 330,004/x
  3. Step 3: Cross multiply
    153,338x = 330,004 × 330,004
  4. Step 4: Simplify right side
    153,338x = 108,902,640,016
  5. Step 5: Solve for x
    x = 108,902,640,016/153,338
  6. Step 6: Final answer
    x = 710,212.99

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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.