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Finding the Third Proportional to 227,242 and 355,695

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Solution

The third proportional to 227,242 and 355,695 is: 556,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,242 : 355,695 = 355,695 : x
  2. Step 2: Convert to fraction form
    227,242/355,695 = 355,695/x
  3. Step 3: Cross multiply
    227,242x = 355,695 × 355,695
  4. Step 4: Simplify right side
    227,242x = 126,518,933,025
  5. Step 5: Solve for x
    x = 126,518,933,025/227,242
  6. Step 6: Final answer
    x = 556,758.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.