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Finding the Third Proportional to 115,456.50 and 251,811

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Solution

The third proportional to 115,456.50 and 251,811 is: 549,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,456.50 : 251,811 = 251,811 : x
  2. Step 2: Convert to fraction form
    115,456.50/251,811 = 251,811/x
  3. Step 3: Cross multiply
    115,456.50x = 251,811 × 251,811
  4. Step 4: Simplify right side
    115,456.50x = 63,408,779,721
  5. Step 5: Solve for x
    x = 63,408,779,721/115,456.50
  6. Step 6: Final answer
    x = 549,200.61

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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.