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Finding the Third Proportional to 240,378 and 348,165

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Solution

The third proportional to 240,378 and 348,165 is: 504,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,378 : 348,165 = 348,165 : x
  2. Step 2: Convert to fraction form
    240,378/348,165 = 348,165/x
  3. Step 3: Cross multiply
    240,378x = 348,165 × 348,165
  4. Step 4: Simplify right side
    240,378x = 121,218,867,225
  5. Step 5: Solve for x
    x = 121,218,867,225/240,378
  6. Step 6: Final answer
    x = 504,284.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.