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Finding the Third Proportional to 227,112 and 346,176

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Solution

The third proportional to 227,112 and 346,176 is: 527,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,112 : 346,176 = 346,176 : x
  2. Step 2: Convert to fraction form
    227,112/346,176 = 346,176/x
  3. Step 3: Cross multiply
    227,112x = 346,176 × 346,176
  4. Step 4: Simplify right side
    227,112x = 119,837,822,976
  5. Step 5: Solve for x
    x = 119,837,822,976/227,112
  6. Step 6: Final answer
    x = 527,659.58

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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.