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Finding the Third Proportional to 134,828.75 and 299,586.32

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Solution

The third proportional to 134,828.75 and 299,586.32 is: 665,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,828.75 : 299,586.32 = 299,586.32 : x
  2. Step 2: Convert to fraction form
    134,828.75/299,586.32 = 299,586.32/x
  3. Step 3: Cross multiply
    134,828.75x = 299,586.32 × 299,586.32
  4. Step 4: Simplify right side
    134,828.75x = 89,751,964,015.53
  5. Step 5: Solve for x
    x = 89,751,964,015.53/134,828.75
  6. Step 6: Final answer
    x = 665,673.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.