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Finding the Third Proportional to 134,832.75 and 299,594.25

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Solution

The third proportional to 134,832.75 and 299,594.25 is: 665,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,832.75 : 299,594.25 = 299,594.25 : x
  2. Step 2: Convert to fraction form
    134,832.75/299,594.25 = 299,594.25/x
  3. Step 3: Cross multiply
    134,832.75x = 299,594.25 × 299,594.25
  4. Step 4: Simplify right side
    134,832.75x = 89,756,714,633.06
  5. Step 5: Solve for x
    x = 89,756,714,633.06/134,832.75
  6. Step 6: Final answer
    x = 665,689.27

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