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Finding the Third Proportional to 192,274 and 412,988

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Solution

The third proportional to 192,274 and 412,988 is: 887,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,274 : 412,988 = 412,988 : x
  2. Step 2: Convert to fraction form
    192,274/412,988 = 412,988/x
  3. Step 3: Cross multiply
    192,274x = 412,988 × 412,988
  4. Step 4: Simplify right side
    192,274x = 170,559,088,144
  5. Step 5: Solve for x
    x = 170,559,088,144/192,274
  6. Step 6: Final answer
    x = 887,062.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.