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Finding the Third Proportional to 192,280 and 414,142

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Solution

The third proportional to 192,280 and 414,142 is: 891,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,280 : 414,142 = 414,142 : x
  2. Step 2: Convert to fraction form
    192,280/414,142 = 414,142/x
  3. Step 3: Cross multiply
    192,280x = 414,142 × 414,142
  4. Step 4: Simplify right side
    192,280x = 171,513,596,164
  5. Step 5: Solve for x
    x = 171,513,596,164/192,280
  6. Step 6: Final answer
    x = 891,999.15

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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.