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Finding the Third Proportional to 215,852 and 337,868

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Solution

The third proportional to 215,852 and 337,868 is: 528,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,852 : 337,868 = 337,868 : x
  2. Step 2: Convert to fraction form
    215,852/337,868 = 337,868/x
  3. Step 3: Cross multiply
    215,852x = 337,868 × 337,868
  4. Step 4: Simplify right side
    215,852x = 114,154,785,424
  5. Step 5: Solve for x
    x = 114,154,785,424/215,852
  6. Step 6: Final answer
    x = 528,856.74

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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.