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Finding the Third Proportional to 171,064 and 268,704

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Solution

The third proportional to 171,064 and 268,704 is: 422,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,064 : 268,704 = 268,704 : x
  2. Step 2: Convert to fraction form
    171,064/268,704 = 268,704/x
  3. Step 3: Cross multiply
    171,064x = 268,704 × 268,704
  4. Step 4: Simplify right side
    171,064x = 72,201,839,616
  5. Step 5: Solve for x
    x = 72,201,839,616/171,064
  6. Step 6: Final answer
    x = 422,075.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.