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Finding the Third Proportional to 183,106 and 282,954

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Solution

The third proportional to 183,106 and 282,954 is: 437,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,106 : 282,954 = 282,954 : x
  2. Step 2: Convert to fraction form
    183,106/282,954 = 282,954/x
  3. Step 3: Cross multiply
    183,106x = 282,954 × 282,954
  4. Step 4: Simplify right side
    183,106x = 80,062,966,116
  5. Step 5: Solve for x
    x = 80,062,966,116/183,106
  6. Step 6: Final answer
    x = 437,249.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.