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Finding the Third Proportional to 215,945 and 337,982

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Solution

The third proportional to 215,945 and 337,982 is: 528,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,945 : 337,982 = 337,982 : x
  2. Step 2: Convert to fraction form
    215,945/337,982 = 337,982/x
  3. Step 3: Cross multiply
    215,945x = 337,982 × 337,982
  4. Step 4: Simplify right side
    215,945x = 114,231,832,324
  5. Step 5: Solve for x
    x = 114,231,832,324/215,945
  6. Step 6: Final answer
    x = 528,985.77

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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.