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Finding the Third Proportional to 215,727.75 and 337,675.50

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Solution

The third proportional to 215,727.75 and 337,675.50 is: 528,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,727.75 : 337,675.50 = 337,675.50 : x
  2. Step 2: Convert to fraction form
    215,727.75/337,675.50 = 337,675.50/x
  3. Step 3: Cross multiply
    215,727.75x = 337,675.50 × 337,675.50
  4. Step 4: Simplify right side
    215,727.75x = 114,024,743,300.25
  5. Step 5: Solve for x
    x = 114,024,743,300.25/215,727.75
  6. Step 6: Final answer
    x = 528,558.53

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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.