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Finding the Third Proportional to 159,058 and 343,036

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Solution

The third proportional to 159,058 and 343,036 is: 739,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,058 : 343,036 = 343,036 : x
  2. Step 2: Convert to fraction form
    159,058/343,036 = 343,036/x
  3. Step 3: Cross multiply
    159,058x = 343,036 × 343,036
  4. Step 4: Simplify right side
    159,058x = 117,673,697,296
  5. Step 5: Solve for x
    x = 117,673,697,296/159,058
  6. Step 6: Final answer
    x = 739,816.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.