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Finding the Third Proportional to 228,782.25 and 347,838

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Solution

The third proportional to 228,782.25 and 347,838 is: 528,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,782.25 : 347,838 = 347,838 : x
  2. Step 2: Convert to fraction form
    228,782.25/347,838 = 347,838/x
  3. Step 3: Cross multiply
    228,782.25x = 347,838 × 347,838
  4. Step 4: Simplify right side
    228,782.25x = 120,991,274,244
  5. Step 5: Solve for x
    x = 120,991,274,244/228,782.25
  6. Step 6: Final answer
    x = 528,849.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.