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Finding the Third Proportional to 171,047 and 264,875

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Solution

The third proportional to 171,047 and 264,875 is: 410,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,047 : 264,875 = 264,875 : x
  2. Step 2: Convert to fraction form
    171,047/264,875 = 264,875/x
  3. Step 3: Cross multiply
    171,047x = 264,875 × 264,875
  4. Step 4: Simplify right side
    171,047x = 70,158,765,625
  5. Step 5: Solve for x
    x = 70,158,765,625/171,047
  6. Step 6: Final answer
    x = 410,172.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.