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Finding the Third Proportional to 139,360 and 271,712

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Solution

The third proportional to 139,360 and 271,712 is: 529,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,360 : 271,712 = 271,712 : x
  2. Step 2: Convert to fraction form
    139,360/271,712 = 271,712/x
  3. Step 3: Cross multiply
    139,360x = 271,712 × 271,712
  4. Step 4: Simplify right side
    139,360x = 73,827,410,944
  5. Step 5: Solve for x
    x = 73,827,410,944/139,360
  6. Step 6: Final answer
    x = 529,760.41

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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.