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Finding the Third Proportional to 227,835 and 345,150

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Solution

The third proportional to 227,835 and 345,150 is: 522,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,835 : 345,150 = 345,150 : x
  2. Step 2: Convert to fraction form
    227,835/345,150 = 345,150/x
  3. Step 3: Cross multiply
    227,835x = 345,150 × 345,150
  4. Step 4: Simplify right side
    227,835x = 119,128,522,500
  5. Step 5: Solve for x
    x = 119,128,522,500/227,835
  6. Step 6: Final answer
    x = 522,871.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.