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Finding the Third Proportional to 139,512 and 301,380

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Solution

The third proportional to 139,512 and 301,380 is: 651,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,512 : 301,380 = 301,380 : x
  2. Step 2: Convert to fraction form
    139,512/301,380 = 301,380/x
  3. Step 3: Cross multiply
    139,512x = 301,380 × 301,380
  4. Step 4: Simplify right side
    139,512x = 90,829,904,400
  5. Step 5: Solve for x
    x = 90,829,904,400/139,512
  6. Step 6: Final answer
    x = 651,054.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.