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Finding the Third Proportional to 70,208.25 and 152,321.25

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Solution

The third proportional to 70,208.25 and 152,321.25 is: 330,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,208.25 : 152,321.25 = 152,321.25 : x
  2. Step 2: Convert to fraction form
    70,208.25/152,321.25 = 152,321.25/x
  3. Step 3: Cross multiply
    70,208.25x = 152,321.25 × 152,321.25
  4. Step 4: Simplify right side
    70,208.25x = 23,201,763,201.56
  5. Step 5: Solve for x
    x = 23,201,763,201.56/70,208.25
  6. Step 6: Final answer
    x = 330,470.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.