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Finding the Third Proportional to 229,797 and 343,305

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Solution

The third proportional to 229,797 and 343,305 is: 512,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,797 : 343,305 = 343,305 : x
  2. Step 2: Convert to fraction form
    229,797/343,305 = 343,305/x
  3. Step 3: Cross multiply
    229,797x = 343,305 × 343,305
  4. Step 4: Simplify right side
    229,797x = 117,858,323,025
  5. Step 5: Solve for x
    x = 117,858,323,025/229,797
  6. Step 6: Final answer
    x = 512,880.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.