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Finding the Third Proportional to 231,718 and 340,058

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Solution

The third proportional to 231,718 and 340,058 is: 499,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,718 : 340,058 = 340,058 : x
  2. Step 2: Convert to fraction form
    231,718/340,058 = 340,058/x
  3. Step 3: Cross multiply
    231,718x = 340,058 × 340,058
  4. Step 4: Simplify right side
    231,718x = 115,639,443,364
  5. Step 5: Solve for x
    x = 115,639,443,364/231,718
  6. Step 6: Final answer
    x = 499,052.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.