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Finding the Third Proportional to 110,967 and 239,430

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Solution

The third proportional to 110,967 and 239,430 is: 516,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,967 : 239,430 = 239,430 : x
  2. Step 2: Convert to fraction form
    110,967/239,430 = 239,430/x
  3. Step 3: Cross multiply
    110,967x = 239,430 × 239,430
  4. Step 4: Simplify right side
    110,967x = 57,326,724,900
  5. Step 5: Solve for x
    x = 57,326,724,900/110,967
  6. Step 6: Final answer
    x = 516,610.57

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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.