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Finding the Third Proportional to 114,441 and 239,346

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Solution

The third proportional to 114,441 and 239,346 is: 500,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,441 : 239,346 = 239,346 : x
  2. Step 2: Convert to fraction form
    114,441/239,346 = 239,346/x
  3. Step 3: Cross multiply
    114,441x = 239,346 × 239,346
  4. Step 4: Simplify right side
    114,441x = 57,286,507,716
  5. Step 5: Solve for x
    x = 57,286,507,716/114,441
  6. Step 6: Final answer
    x = 500,576.78

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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.