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Finding the Third Proportional to 215,856 and 337,875

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Solution

The third proportional to 215,856 and 337,875 is: 528,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,856 : 337,875 = 337,875 : x
  2. Step 2: Convert to fraction form
    215,856/337,875 = 337,875/x
  3. Step 3: Cross multiply
    215,856x = 337,875 × 337,875
  4. Step 4: Simplify right side
    215,856x = 114,159,515,625
  5. Step 5: Solve for x
    x = 114,159,515,625/215,856
  6. Step 6: Final answer
    x = 528,868.86

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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.