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Finding the Third Proportional to 139,456 and 212,448

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Solution

The third proportional to 139,456 and 212,448 is: 323,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,456 : 212,448 = 212,448 : x
  2. Step 2: Convert to fraction form
    139,456/212,448 = 212,448/x
  3. Step 3: Cross multiply
    139,456x = 212,448 × 212,448
  4. Step 4: Simplify right side
    139,456x = 45,134,152,704
  5. Step 5: Solve for x
    x = 45,134,152,704/139,456
  6. Step 6: Final answer
    x = 323,644.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.