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Finding the Third Proportional to 115,046 and 235,667

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Solution

The third proportional to 115,046 and 235,667 is: 482,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,046 : 235,667 = 235,667 : x
  2. Step 2: Convert to fraction form
    115,046/235,667 = 235,667/x
  3. Step 3: Cross multiply
    115,046x = 235,667 × 235,667
  4. Step 4: Simplify right side
    115,046x = 55,538,934,889
  5. Step 5: Solve for x
    x = 55,538,934,889/115,046
  6. Step 6: Final answer
    x = 482,754.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.