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Finding the Third Proportional to 139,362 and 271,716

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Solution

The third proportional to 139,362 and 271,716 is: 529,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,362 : 271,716 = 271,716 : x
  2. Step 2: Convert to fraction form
    139,362/271,716 = 271,716/x
  3. Step 3: Cross multiply
    139,362x = 271,716 × 271,716
  4. Step 4: Simplify right side
    139,362x = 73,829,584,656
  5. Step 5: Solve for x
    x = 73,829,584,656/139,362
  6. Step 6: Final answer
    x = 529,768.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.