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Finding the Third Proportional to 226,440 and 341,955

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Solution

The third proportional to 226,440 and 341,955 is: 516,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,440 : 341,955 = 341,955 : x
  2. Step 2: Convert to fraction form
    226,440/341,955 = 341,955/x
  3. Step 3: Cross multiply
    226,440x = 341,955 × 341,955
  4. Step 4: Simplify right side
    226,440x = 116,933,222,025
  5. Step 5: Solve for x
    x = 116,933,222,025/226,440
  6. Step 6: Final answer
    x = 516,398.26

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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.