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Finding the Third Proportional to 215,825 and 337,827

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Solution

The third proportional to 215,825 and 337,827 is: 528,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,825 : 337,827 = 337,827 : x
  2. Step 2: Convert to fraction form
    215,825/337,827 = 337,827/x
  3. Step 3: Cross multiply
    215,825x = 337,827 × 337,827
  4. Step 4: Simplify right side
    215,825x = 114,127,081,929
  5. Step 5: Solve for x
    x = 114,127,081,929/215,825
  6. Step 6: Final answer
    x = 528,794.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.