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Finding the Third Proportional to 227,331 and 341,029

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Solution

The third proportional to 227,331 and 341,029 is: 511,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,331 : 341,029 = 341,029 : x
  2. Step 2: Convert to fraction form
    227,331/341,029 = 341,029/x
  3. Step 3: Cross multiply
    227,331x = 341,029 × 341,029
  4. Step 4: Simplify right side
    227,331x = 116,300,778,841
  5. Step 5: Solve for x
    x = 116,300,778,841/227,331
  6. Step 6: Final answer
    x = 511,592.25

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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.