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Finding the Third Proportional to 122,316 and 188,241

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Solution

The third proportional to 122,316 and 188,241 is: 289,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,316 : 188,241 = 188,241 : x
  2. Step 2: Convert to fraction form
    122,316/188,241 = 188,241/x
  3. Step 3: Cross multiply
    122,316x = 188,241 × 188,241
  4. Step 4: Simplify right side
    122,316x = 35,434,674,081
  5. Step 5: Solve for x
    x = 35,434,674,081/122,316
  6. Step 6: Final answer
    x = 289,697.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.