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Finding the Third Proportional to 227,250 and 355,707

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Solution

The third proportional to 227,250 and 355,707 is: 556,776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,250 : 355,707 = 355,707 : x
  2. Step 2: Convert to fraction form
    227,250/355,707 = 355,707/x
  3. Step 3: Cross multiply
    227,250x = 355,707 × 355,707
  4. Step 4: Simplify right side
    227,250x = 126,527,469,849
  5. Step 5: Solve for x
    x = 126,527,469,849/227,250
  6. Step 6: Final answer
    x = 556,776.54

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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.