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Finding the Third Proportional to 229,376 and 347,520

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Solution

The third proportional to 229,376 and 347,520 is: 526,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,376 : 347,520 = 347,520 : x
  2. Step 2: Convert to fraction form
    229,376/347,520 = 347,520/x
  3. Step 3: Cross multiply
    229,376x = 347,520 × 347,520
  4. Step 4: Simplify right side
    229,376x = 120,770,150,400
  5. Step 5: Solve for x
    x = 120,770,150,400/229,376
  6. Step 6: Final answer
    x = 526,516.07

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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.