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Finding the Third Proportional to 116,031 and 254,463

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Solution

The third proportional to 116,031 and 254,463 is: 558,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,031 : 254,463 = 254,463 : x
  2. Step 2: Convert to fraction form
    116,031/254,463 = 254,463/x
  3. Step 3: Cross multiply
    116,031x = 254,463 × 254,463
  4. Step 4: Simplify right side
    116,031x = 64,751,418,369
  5. Step 5: Solve for x
    x = 64,751,418,369/116,031
  6. Step 6: Final answer
    x = 558,052.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.