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Finding the Third Proportional to 139,410 and 210,843

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Solution

The third proportional to 139,410 and 210,843 is: 318,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,410 : 210,843 = 210,843 : x
  2. Step 2: Convert to fraction form
    139,410/210,843 = 210,843/x
  3. Step 3: Cross multiply
    139,410x = 210,843 × 210,843
  4. Step 4: Simplify right side
    139,410x = 44,454,770,649
  5. Step 5: Solve for x
    x = 44,454,770,649/139,410
  6. Step 6: Final answer
    x = 318,877.92

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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.