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Finding the Third Proportional to 193,877 and 405,411

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Solution

The third proportional to 193,877 and 405,411 is: 847,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,877 : 405,411 = 405,411 : x
  2. Step 2: Convert to fraction form
    193,877/405,411 = 405,411/x
  3. Step 3: Cross multiply
    193,877x = 405,411 × 405,411
  4. Step 4: Simplify right side
    193,877x = 164,358,078,921
  5. Step 5: Solve for x
    x = 164,358,078,921/193,877
  6. Step 6: Final answer
    x = 847,744.08

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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.