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Finding the Third Proportional to 251,148 and 379,058

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Solution

The third proportional to 251,148 and 379,058 is: 572,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,148 : 379,058 = 379,058 : x
  2. Step 2: Convert to fraction form
    251,148/379,058 = 379,058/x
  3. Step 3: Cross multiply
    251,148x = 379,058 × 379,058
  4. Step 4: Simplify right side
    251,148x = 143,684,967,364
  5. Step 5: Solve for x
    x = 143,684,967,364/251,148
  6. Step 6: Final answer
    x = 572,112.73

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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.