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Finding the Third Proportional to 147,710.25 and 324,945

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Solution

The third proportional to 147,710.25 and 324,945 is: 714,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,710.25 : 324,945 = 324,945 : x
  2. Step 2: Convert to fraction form
    147,710.25/324,945 = 324,945/x
  3. Step 3: Cross multiply
    147,710.25x = 324,945 × 324,945
  4. Step 4: Simplify right side
    147,710.25x = 105,589,253,025
  5. Step 5: Solve for x
    x = 105,589,253,025/147,710.25
  6. Step 6: Final answer
    x = 714,840.39

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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.