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Finding the Third Proportional to 164,892 and 248,058

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Solution

The third proportional to 164,892 and 248,058 is: 373,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,892 : 248,058 = 248,058 : x
  2. Step 2: Convert to fraction form
    164,892/248,058 = 248,058/x
  3. Step 3: Cross multiply
    164,892x = 248,058 × 248,058
  4. Step 4: Simplify right side
    164,892x = 61,532,771,364
  5. Step 5: Solve for x
    x = 61,532,771,364/164,892
  6. Step 6: Final answer
    x = 373,170.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.