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Finding the Third Proportional to 90,308 and 193,672

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Solution

The third proportional to 90,308 and 193,672 is: 415,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,308 : 193,672 = 193,672 : x
  2. Step 2: Convert to fraction form
    90,308/193,672 = 193,672/x
  3. Step 3: Cross multiply
    90,308x = 193,672 × 193,672
  4. Step 4: Simplify right side
    90,308x = 37,508,843,584
  5. Step 5: Solve for x
    x = 37,508,843,584/90,308
  6. Step 6: Final answer
    x = 415,343.53

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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.