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Finding the Third Proportional to 193,598.25 and 415,220.25

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Solution

The third proportional to 193,598.25 and 415,220.25 is: 890,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,598.25 : 415,220.25 = 415,220.25 : x
  2. Step 2: Convert to fraction form
    193,598.25/415,220.25 = 415,220.25/x
  3. Step 3: Cross multiply
    193,598.25x = 415,220.25 × 415,220.25
  4. Step 4: Simplify right side
    193,598.25x = 172,407,856,010.06
  5. Step 5: Solve for x
    x = 172,407,856,010.06/193,598.25
  6. Step 6: Final answer
    x = 890,544.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.