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Finding the Third Proportional to 139,968 and 216,864

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Solution

The third proportional to 139,968 and 216,864 is: 336,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968 : 216,864 = 216,864 : x
  2. Step 2: Convert to fraction form
    139,968/216,864 = 216,864/x
  3. Step 3: Cross multiply
    139,968x = 216,864 × 216,864
  4. Step 4: Simplify right side
    139,968x = 47,029,994,496
  5. Step 5: Solve for x
    x = 47,029,994,496/139,968
  6. Step 6: Final answer
    x = 336,005.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.