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Finding the Third Proportional to 147,867.75 and 335,224.13

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Solution

The third proportional to 147,867.75 and 335,224.13 is: 759,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,867.75 : 335,224.13 = 335,224.13 : x
  2. Step 2: Convert to fraction form
    147,867.75/335,224.13 = 335,224.13/x
  3. Step 3: Cross multiply
    147,867.75x = 335,224.13 × 335,224.13
  4. Step 4: Simplify right side
    147,867.75x = 112,375,213,982.02
  5. Step 5: Solve for x
    x = 112,375,213,982.02/147,867.75
  6. Step 6: Final answer
    x = 759,971.08

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.