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Finding the Third Proportional to 139,440 and 331,320

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Solution

The third proportional to 139,440 and 331,320 is: 787,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,440 : 331,320 = 331,320 : x
  2. Step 2: Convert to fraction form
    139,440/331,320 = 331,320/x
  3. Step 3: Cross multiply
    139,440x = 331,320 × 331,320
  4. Step 4: Simplify right side
    139,440x = 109,772,942,400
  5. Step 5: Solve for x
    x = 109,772,942,400/139,440
  6. Step 6: Final answer
    x = 787,241.41

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.