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Finding the Third Proportional to 139,367 and 210,356

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Solution

The third proportional to 139,367 and 210,356 is: 317,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,367 : 210,356 = 210,356 : x
  2. Step 2: Convert to fraction form
    139,367/210,356 = 210,356/x
  3. Step 3: Cross multiply
    139,367x = 210,356 × 210,356
  4. Step 4: Simplify right side
    139,367x = 44,249,646,736
  5. Step 5: Solve for x
    x = 44,249,646,736/139,367
  6. Step 6: Final answer
    x = 317,504.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.