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Finding the Third Proportional to 94,259.25 and 203,280.75

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Solution

The third proportional to 94,259.25 and 203,280.75 is: 438,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,259.25 : 203,280.75 = 203,280.75 : x
  2. Step 2: Convert to fraction form
    94,259.25/203,280.75 = 203,280.75/x
  3. Step 3: Cross multiply
    94,259.25x = 203,280.75 × 203,280.75
  4. Step 4: Simplify right side
    94,259.25x = 41,323,063,320.56
  5. Step 5: Solve for x
    x = 41,323,063,320.56/94,259.25
  6. Step 6: Final answer
    x = 438,397.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.