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Finding the Third Proportional to 114,078 and 244,140

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Solution

The third proportional to 114,078 and 244,140 is: 522,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,078 : 244,140 = 244,140 : x
  2. Step 2: Convert to fraction form
    114,078/244,140 = 244,140/x
  3. Step 3: Cross multiply
    114,078x = 244,140 × 244,140
  4. Step 4: Simplify right side
    114,078x = 59,604,339,600
  5. Step 5: Solve for x
    x = 59,604,339,600/114,078
  6. Step 6: Final answer
    x = 522,487.59

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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.