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Finding the Third Proportional to 191,609 and 290,064

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Solution

The third proportional to 191,609 and 290,064 is: 439,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,609 : 290,064 = 290,064 : x
  2. Step 2: Convert to fraction form
    191,609/290,064 = 290,064/x
  3. Step 3: Cross multiply
    191,609x = 290,064 × 290,064
  4. Step 4: Simplify right side
    191,609x = 84,137,124,096
  5. Step 5: Solve for x
    x = 84,137,124,096/191,609
  6. Step 6: Final answer
    x = 439,108.41

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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.