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Finding the Third Proportional to 107,274 and 231,409

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Solution

The third proportional to 107,274 and 231,409 is: 499,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,274 : 231,409 = 231,409 : x
  2. Step 2: Convert to fraction form
    107,274/231,409 = 231,409/x
  3. Step 3: Cross multiply
    107,274x = 231,409 × 231,409
  4. Step 4: Simplify right side
    107,274x = 53,550,125,281
  5. Step 5: Solve for x
    x = 53,550,125,281/107,274
  6. Step 6: Final answer
    x = 499,190.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.