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Finding the Third Proportional to 226,967 and 341,431

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Solution

The third proportional to 226,967 and 341,431 is: 513,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,967 : 341,431 = 341,431 : x
  2. Step 2: Convert to fraction form
    226,967/341,431 = 341,431/x
  3. Step 3: Cross multiply
    226,967x = 341,431 × 341,431
  4. Step 4: Simplify right side
    226,967x = 116,575,127,761
  5. Step 5: Solve for x
    x = 116,575,127,761/226,967
  6. Step 6: Final answer
    x = 513,621.49

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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.