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Finding the Third Proportional to 315,181.13 and 488,845.13

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Solution

The third proportional to 315,181.13 and 488,845.13 is: 758,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,181.13 : 488,845.13 = 488,845.13 : x
  2. Step 2: Convert to fraction form
    315,181.13/488,845.13 = 488,845.13/x
  3. Step 3: Cross multiply
    315,181.13x = 488,845.13 × 488,845.13
  4. Step 4: Simplify right side
    315,181.13x = 238,969,556,236.27
  5. Step 5: Solve for x
    x = 238,969,556,236.27/315,181.13
  6. Step 6: Final answer
    x = 758,197.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.