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Finding the Third Proportional to 105,343 and 230,393

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Solution

The third proportional to 105,343 and 230,393 is: 503,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,343 : 230,393 = 230,393 : x
  2. Step 2: Convert to fraction form
    105,343/230,393 = 230,393/x
  3. Step 3: Cross multiply
    105,343x = 230,393 × 230,393
  4. Step 4: Simplify right side
    105,343x = 53,080,934,449
  5. Step 5: Solve for x
    x = 53,080,934,449/105,343
  6. Step 6: Final answer
    x = 503,886.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.