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Finding the Third Proportional to 227,577.09 and 341,950.36

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Solution

The third proportional to 227,577.09 and 341,950.36 is: 513,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,577.09 : 341,950.36 = 341,950.36 : x
  2. Step 2: Convert to fraction form
    227,577.09/341,950.36 = 341,950.36/x
  3. Step 3: Cross multiply
    227,577.09x = 341,950.36 × 341,950.36
  4. Step 4: Simplify right side
    227,577.09x = 116,930,048,276.69
  5. Step 5: Solve for x
    x = 116,930,048,276.69/227,577.09
  6. Step 6: Final answer
    x = 513,804.12

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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.