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Finding the Third Proportional to 227,739 and 361,883.25

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Solution

The third proportional to 227,739 and 361,883.25 is: 575,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,739 : 361,883.25 = 361,883.25 : x
  2. Step 2: Convert to fraction form
    227,739/361,883.25 = 361,883.25/x
  3. Step 3: Cross multiply
    227,739x = 361,883.25 × 361,883.25
  4. Step 4: Simplify right side
    227,739x = 130,959,486,630.56
  5. Step 5: Solve for x
    x = 130,959,486,630.56/227,739
  6. Step 6: Final answer
    x = 575,041.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.