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Finding the Third Proportional to 229,317.75 and 347,439.38

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Solution

The third proportional to 229,317.75 and 347,439.38 is: 526,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,317.75 : 347,439.38 = 347,439.38 : x
  2. Step 2: Convert to fraction form
    229,317.75/347,439.38 = 347,439.38/x
  3. Step 3: Cross multiply
    229,317.75x = 347,439.38 × 347,439.38
  4. Step 4: Simplify right side
    229,317.75x = 120,714,119,300.39
  5. Step 5: Solve for x
    x = 120,714,119,300.39/229,317.75
  6. Step 6: Final answer
    x = 526,405.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.