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Finding the Third Proportional to 226,808 and 341,967

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Solution

The third proportional to 226,808 and 341,967 is: 515,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,808 : 341,967 = 341,967 : x
  2. Step 2: Convert to fraction form
    226,808/341,967 = 341,967/x
  3. Step 3: Cross multiply
    226,808x = 341,967 × 341,967
  4. Step 4: Simplify right side
    226,808x = 116,941,429,089
  5. Step 5: Solve for x
    x = 116,941,429,089/226,808
  6. Step 6: Final answer
    x = 515,596.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.