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Finding the Third Proportional to 191,616 and 290,075

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Solution

The third proportional to 191,616 and 290,075 is: 439,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,616 : 290,075 = 290,075 : x
  2. Step 2: Convert to fraction form
    191,616/290,075 = 290,075/x
  3. Step 3: Cross multiply
    191,616x = 290,075 × 290,075
  4. Step 4: Simplify right side
    191,616x = 84,143,505,625
  5. Step 5: Solve for x
    x = 84,143,505,625/191,616
  6. Step 6: Final answer
    x = 439,125.68

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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.