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Finding the Third Proportional to 227,730 and 361,945

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Solution

The third proportional to 227,730 and 361,945 is: 575,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,730 : 361,945 = 361,945 : x
  2. Step 2: Convert to fraction form
    227,730/361,945 = 361,945/x
  3. Step 3: Cross multiply
    227,730x = 361,945 × 361,945
  4. Step 4: Simplify right side
    227,730x = 131,004,183,025
  5. Step 5: Solve for x
    x = 131,004,183,025/227,730
  6. Step 6: Final answer
    x = 575,260.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.