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Finding the Third Proportional to 229,822 and 343,351

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Solution

The third proportional to 229,822 and 343,351 is: 512,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,822 : 343,351 = 343,351 : x
  2. Step 2: Convert to fraction form
    229,822/343,351 = 343,351/x
  3. Step 3: Cross multiply
    229,822x = 343,351 × 343,351
  4. Step 4: Simplify right side
    229,822x = 117,889,909,201
  5. Step 5: Solve for x
    x = 117,889,909,201/229,822
  6. Step 6: Final answer
    x = 512,961.81

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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.