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Finding the Third Proportional to 227,045 and 340,567

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Solution

The third proportional to 227,045 and 340,567 is: 510,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,045 : 340,567 = 340,567 : x
  2. Step 2: Convert to fraction form
    227,045/340,567 = 340,567/x
  3. Step 3: Cross multiply
    227,045x = 340,567 × 340,567
  4. Step 4: Simplify right side
    227,045x = 115,985,881,489
  5. Step 5: Solve for x
    x = 115,985,881,489/227,045
  6. Step 6: Final answer
    x = 510,849.75

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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.