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Finding the Third Proportional to 227,150 and 350,202

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Solution

The third proportional to 227,150 and 350,202 is: 539,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,150 : 350,202 = 350,202 : x
  2. Step 2: Convert to fraction form
    227,150/350,202 = 350,202/x
  3. Step 3: Cross multiply
    227,150x = 350,202 × 350,202
  4. Step 4: Simplify right side
    227,150x = 122,641,440,804
  5. Step 5: Solve for x
    x = 122,641,440,804/227,150
  6. Step 6: Final answer
    x = 539,913.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.