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Finding the Third Proportional to 134,466.75 and 202,736.25

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Solution

The third proportional to 134,466.75 and 202,736.25 is: 305,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,466.75 : 202,736.25 = 202,736.25 : x
  2. Step 2: Convert to fraction form
    134,466.75/202,736.25 = 202,736.25/x
  3. Step 3: Cross multiply
    134,466.75x = 202,736.25 × 202,736.25
  4. Step 4: Simplify right side
    134,466.75x = 41,101,987,064.06
  5. Step 5: Solve for x
    x = 41,101,987,064.06/134,466.75
  6. Step 6: Final answer
    x = 305,666.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.