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Finding the Third Proportional to 240,119 and 347,781

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Solution

The third proportional to 240,119 and 347,781 is: 503,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,119 : 347,781 = 347,781 : x
  2. Step 2: Convert to fraction form
    240,119/347,781 = 347,781/x
  3. Step 3: Cross multiply
    240,119x = 347,781 × 347,781
  4. Step 4: Simplify right side
    240,119x = 120,951,623,961
  5. Step 5: Solve for x
    x = 120,951,623,961/240,119
  6. Step 6: Final answer
    x = 503,715.34

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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.