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Finding the Third Proportional to 235,204 and 508,134

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Solution

The third proportional to 235,204 and 508,134 is: 1,097,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,204 : 508,134 = 508,134 : x
  2. Step 2: Convert to fraction form
    235,204/508,134 = 508,134/x
  3. Step 3: Cross multiply
    235,204x = 508,134 × 508,134
  4. Step 4: Simplify right side
    235,204x = 258,200,161,956
  5. Step 5: Solve for x
    x = 258,200,161,956/235,204
  6. Step 6: Final answer
    x = 1,097,771.13

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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.