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Finding the Third Proportional to 251,826.75 and 547,929

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Solution

The third proportional to 251,826.75 and 547,929 is: 1,192,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,826.75 : 547,929 = 547,929 : x
  2. Step 2: Convert to fraction form
    251,826.75/547,929 = 547,929/x
  3. Step 3: Cross multiply
    251,826.75x = 547,929 × 547,929
  4. Step 4: Simplify right side
    251,826.75x = 300,226,189,041
  5. Step 5: Solve for x
    x = 300,226,189,041/251,826.75
  6. Step 6: Final answer
    x = 1,192,193.40

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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.