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Finding the Third Proportional to 171,058 and 264,888

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Solution

The third proportional to 171,058 and 264,888 is: 410,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,058 : 264,888 = 264,888 : x
  2. Step 2: Convert to fraction form
    171,058/264,888 = 264,888/x
  3. Step 3: Cross multiply
    171,058x = 264,888 × 264,888
  4. Step 4: Simplify right side
    171,058x = 70,165,652,544
  5. Step 5: Solve for x
    x = 70,165,652,544/171,058
  6. Step 6: Final answer
    x = 410,186.33

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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.