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Finding the Third Proportional to 110,658 and 239,946

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Solution

The third proportional to 110,658 and 239,946 is: 520,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,658 : 239,946 = 239,946 : x
  2. Step 2: Convert to fraction form
    110,658/239,946 = 239,946/x
  3. Step 3: Cross multiply
    110,658x = 239,946 × 239,946
  4. Step 4: Simplify right side
    110,658x = 57,574,082,916
  5. Step 5: Solve for x
    x = 57,574,082,916/110,658
  6. Step 6: Final answer
    x = 520,288.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.