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Finding the Third Proportional to 153,029.25 and 333,159.75

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Solution

The third proportional to 153,029.25 and 333,159.75 is: 725,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,029.25 : 333,159.75 = 333,159.75 : x
  2. Step 2: Convert to fraction form
    153,029.25/333,159.75 = 333,159.75/x
  3. Step 3: Cross multiply
    153,029.25x = 333,159.75 × 333,159.75
  4. Step 4: Simplify right side
    153,029.25x = 110,995,419,020.06
  5. Step 5: Solve for x
    x = 110,995,419,020.06/153,029.25
  6. Step 6: Final answer
    x = 725,321.59

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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.