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Finding the Third Proportional to 215,760 and 337,728

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Solution

The third proportional to 215,760 and 337,728 is: 528,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,760 : 337,728 = 337,728 : x
  2. Step 2: Convert to fraction form
    215,760/337,728 = 337,728/x
  3. Step 3: Cross multiply
    215,760x = 337,728 × 337,728
  4. Step 4: Simplify right side
    215,760x = 114,060,201,984
  5. Step 5: Solve for x
    x = 114,060,201,984/215,760
  6. Step 6: Final answer
    x = 528,643.87

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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.