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Finding the Third Proportional to 116,031 and 253,366

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Solution

The third proportional to 116,031 and 253,366 is: 553,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,031 : 253,366 = 253,366 : x
  2. Step 2: Convert to fraction form
    116,031/253,366 = 253,366/x
  3. Step 3: Cross multiply
    116,031x = 253,366 × 253,366
  4. Step 4: Simplify right side
    116,031x = 64,194,329,956
  5. Step 5: Solve for x
    x = 64,194,329,956/116,031
  6. Step 6: Final answer
    x = 553,251.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.