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Finding the Third Proportional to 111,225 and 239,946

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Solution

The third proportional to 111,225 and 239,946 is: 517,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,225 : 239,946 = 239,946 : x
  2. Step 2: Convert to fraction form
    111,225/239,946 = 239,946/x
  3. Step 3: Cross multiply
    111,225x = 239,946 × 239,946
  4. Step 4: Simplify right side
    111,225x = 57,574,082,916
  5. Step 5: Solve for x
    x = 57,574,082,916/111,225
  6. Step 6: Final answer
    x = 517,636.17

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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.