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Finding the Third Proportional to 193,106 and 403,869

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Solution

The third proportional to 193,106 and 403,869 is: 844,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,106 : 403,869 = 403,869 : x
  2. Step 2: Convert to fraction form
    193,106/403,869 = 403,869/x
  3. Step 3: Cross multiply
    193,106x = 403,869 × 403,869
  4. Step 4: Simplify right side
    193,106x = 163,110,169,161
  5. Step 5: Solve for x
    x = 163,110,169,161/193,106
  6. Step 6: Final answer
    x = 844,666.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.