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Finding the Third Proportional to 215,840.25 and 337,848.75

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Solution

The third proportional to 215,840.25 and 337,848.75 is: 528,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,840.25 : 337,848.75 = 337,848.75 : x
  2. Step 2: Convert to fraction form
    215,840.25/337,848.75 = 337,848.75/x
  3. Step 3: Cross multiply
    215,840.25x = 337,848.75 × 337,848.75
  4. Step 4: Simplify right side
    215,840.25x = 114,141,777,876.56
  5. Step 5: Solve for x
    x = 114,141,777,876.56/215,840.25
  6. Step 6: Final answer
    x = 528,825.27

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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.