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Finding the Third Proportional to 114,427.69 and 239,311.69

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Solution

The third proportional to 114,427.69 and 239,311.69 is: 500,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,427.69 : 239,311.69 = 239,311.69 : x
  2. Step 2: Convert to fraction form
    114,427.69/239,311.69 = 239,311.69/x
  3. Step 3: Cross multiply
    114,427.69x = 239,311.69 × 239,311.69
  4. Step 4: Simplify right side
    114,427.69x = 57,270,083,774.10
  5. Step 5: Solve for x
    x = 57,270,083,774.10/114,427.69
  6. Step 6: Final answer
    x = 500,491.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.