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Finding the Third Proportional to 103,485 and 227,290

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Solution

The third proportional to 103,485 and 227,290 is: 499,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,485 : 227,290 = 227,290 : x
  2. Step 2: Convert to fraction form
    103,485/227,290 = 227,290/x
  3. Step 3: Cross multiply
    103,485x = 227,290 × 227,290
  4. Step 4: Simplify right side
    103,485x = 51,660,744,100
  5. Step 5: Solve for x
    x = 51,660,744,100/103,485
  6. Step 6: Final answer
    x = 499,209.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.