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Finding the Third Proportional to 139,385 and 210,383

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Solution

The third proportional to 139,385 and 210,383 is: 317,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,385 : 210,383 = 210,383 : x
  2. Step 2: Convert to fraction form
    139,385/210,383 = 210,383/x
  3. Step 3: Cross multiply
    139,385x = 210,383 × 210,383
  4. Step 4: Simplify right side
    139,385x = 44,261,006,689
  5. Step 5: Solve for x
    x = 44,261,006,689/139,385
  6. Step 6: Final answer
    x = 317,544.98

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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.