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Finding the Third Proportional to 111,114 and 239,602

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Solution

The third proportional to 111,114 and 239,602 is: 516,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,114 : 239,602 = 239,602 : x
  2. Step 2: Convert to fraction form
    111,114/239,602 = 239,602/x
  3. Step 3: Cross multiply
    111,114x = 239,602 × 239,602
  4. Step 4: Simplify right side
    111,114x = 57,409,118,404
  5. Step 5: Solve for x
    x = 57,409,118,404/111,114
  6. Step 6: Final answer
    x = 516,668.63

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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.