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Finding the Third Proportional to 229,188 and 343,890

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Solution

The third proportional to 229,188 and 343,890 is: 515,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,188 : 343,890 = 343,890 : x
  2. Step 2: Convert to fraction form
    229,188/343,890 = 343,890/x
  3. Step 3: Cross multiply
    229,188x = 343,890 × 343,890
  4. Step 4: Simplify right side
    229,188x = 118,260,332,100
  5. Step 5: Solve for x
    x = 118,260,332,100/229,188
  6. Step 6: Final answer
    x = 515,997.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.