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Finding the Third Proportional to 115,326 and 247,059

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Solution

The third proportional to 115,326 and 247,059 is: 529,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,326 : 247,059 = 247,059 : x
  2. Step 2: Convert to fraction form
    115,326/247,059 = 247,059/x
  3. Step 3: Cross multiply
    115,326x = 247,059 × 247,059
  4. Step 4: Simplify right side
    115,326x = 61,038,149,481
  5. Step 5: Solve for x
    x = 61,038,149,481/115,326
  6. Step 6: Final answer
    x = 529,266.16

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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.