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Finding the Third Proportional to 194,406 and 291,609

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Solution

The third proportional to 194,406 and 291,609 is: 437,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,406 : 291,609 = 291,609 : x
  2. Step 2: Convert to fraction form
    194,406/291,609 = 291,609/x
  3. Step 3: Cross multiply
    194,406x = 291,609 × 291,609
  4. Step 4: Simplify right side
    194,406x = 85,035,808,881
  5. Step 5: Solve for x
    x = 85,035,808,881/194,406
  6. Step 6: Final answer
    x = 437,413.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.