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Finding the Third Proportional to 191,611 and 290,069

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Solution

The third proportional to 191,611 and 290,069 is: 439,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,611 : 290,069 = 290,069 : x
  2. Step 2: Convert to fraction form
    191,611/290,069 = 290,069/x
  3. Step 3: Cross multiply
    191,611x = 290,069 × 290,069
  4. Step 4: Simplify right side
    191,611x = 84,140,024,761
  5. Step 5: Solve for x
    x = 84,140,024,761/191,611
  6. Step 6: Final answer
    x = 439,118.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.