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Finding the Third Proportional to 135,828.75 and 295,008

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Solution

The third proportional to 135,828.75 and 295,008 is: 640,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,828.75 : 295,008 = 295,008 : x
  2. Step 2: Convert to fraction form
    135,828.75/295,008 = 295,008/x
  3. Step 3: Cross multiply
    135,828.75x = 295,008 × 295,008
  4. Step 4: Simplify right side
    135,828.75x = 87,029,720,064
  5. Step 5: Solve for x
    x = 87,029,720,064/135,828.75
  6. Step 6: Final answer
    x = 640,731.22

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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.