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Finding the Third Proportional to 215,762 and 337,731

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Solution

The third proportional to 215,762 and 337,731 is: 528,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,762 : 337,731 = 337,731 : x
  2. Step 2: Convert to fraction form
    215,762/337,731 = 337,731/x
  3. Step 3: Cross multiply
    215,762x = 337,731 × 337,731
  4. Step 4: Simplify right side
    215,762x = 114,062,228,361
  5. Step 5: Solve for x
    x = 114,062,228,361/215,762
  6. Step 6: Final answer
    x = 528,648.36

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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.