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Finding the Third Proportional to 107,396 and 230,344

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Solution

The third proportional to 107,396 and 230,344 is: 494,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,396 : 230,344 = 230,344 : x
  2. Step 2: Convert to fraction form
    107,396/230,344 = 230,344/x
  3. Step 3: Cross multiply
    107,396x = 230,344 × 230,344
  4. Step 4: Simplify right side
    107,396x = 53,058,358,336
  5. Step 5: Solve for x
    x = 53,058,358,336/107,396
  6. Step 6: Final answer
    x = 494,044.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.