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Finding the Third Proportional to 226,323 and 340,052

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Solution

The third proportional to 226,323 and 340,052 is: 510,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,323 : 340,052 = 340,052 : x
  2. Step 2: Convert to fraction form
    226,323/340,052 = 340,052/x
  3. Step 3: Cross multiply
    226,323x = 340,052 × 340,052
  4. Step 4: Simplify right side
    226,323x = 115,635,362,704
  5. Step 5: Solve for x
    x = 115,635,362,704/226,323
  6. Step 6: Final answer
    x = 510,930.67

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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.