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Finding the Third Proportional to 227,297 and 340,946

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Solution

The third proportional to 227,297 and 340,946 is: 511,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,297 : 340,946 = 340,946 : x
  2. Step 2: Convert to fraction form
    227,297/340,946 = 340,946/x
  3. Step 3: Cross multiply
    227,297x = 340,946 × 340,946
  4. Step 4: Simplify right side
    227,297x = 116,244,174,916
  5. Step 5: Solve for x
    x = 116,244,174,916/227,297
  6. Step 6: Final answer
    x = 511,419.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.