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Finding the Third Proportional to 161,867 and 245,058

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Solution

The third proportional to 161,867 and 245,058 is: 371,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,867 : 245,058 = 245,058 : x
  2. Step 2: Convert to fraction form
    161,867/245,058 = 245,058/x
  3. Step 3: Cross multiply
    161,867x = 245,058 × 245,058
  4. Step 4: Simplify right side
    161,867x = 60,053,423,364
  5. Step 5: Solve for x
    x = 60,053,423,364/161,867
  6. Step 6: Final answer
    x = 371,004.73

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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.