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Finding the Third Proportional to 192,483 and 281,409.75

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Solution

The third proportional to 192,483 and 281,409.75 is: 411,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,483 : 281,409.75 = 281,409.75 : x
  2. Step 2: Convert to fraction form
    192,483/281,409.75 = 281,409.75/x
  3. Step 3: Cross multiply
    192,483x = 281,409.75 × 281,409.75
  4. Step 4: Simplify right side
    192,483x = 79,191,447,395.06
  5. Step 5: Solve for x
    x = 79,191,447,395.06/192,483
  6. Step 6: Final answer
    x = 411,420.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.