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Finding the Third Proportional to 159,963 and 350,058

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Solution

The third proportional to 159,963 and 350,058 is: 766,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,963 : 350,058 = 350,058 : x
  2. Step 2: Convert to fraction form
    159,963/350,058 = 350,058/x
  3. Step 3: Cross multiply
    159,963x = 350,058 × 350,058
  4. Step 4: Simplify right side
    159,963x = 122,540,603,364
  5. Step 5: Solve for x
    x = 122,540,603,364/159,963
  6. Step 6: Final answer
    x = 766,055.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.