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Finding the Third Proportional to 254,162.81 and 547,676.44

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Solution

The third proportional to 254,162.81 and 547,676.44 is: 1,180,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,162.81 : 547,676.44 = 547,676.44 : x
  2. Step 2: Convert to fraction form
    254,162.81/547,676.44 = 547,676.44/x
  3. Step 3: Cross multiply
    254,162.81x = 547,676.44 × 547,676.44
  4. Step 4: Simplify right side
    254,162.81x = 299,949,480,192.69
  5. Step 5: Solve for x
    x = 299,949,480,192.69/254,162.81
  6. Step 6: Final answer
    x = 1,180,147.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.