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Finding the Third Proportional to 183,488 and 282,116

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Solution

The third proportional to 183,488 and 282,116 is: 433,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,488 : 282,116 = 282,116 : x
  2. Step 2: Convert to fraction form
    183,488/282,116 = 282,116/x
  3. Step 3: Cross multiply
    183,488x = 282,116 × 282,116
  4. Step 4: Simplify right side
    183,488x = 79,589,437,456
  5. Step 5: Solve for x
    x = 79,589,437,456/183,488
  6. Step 6: Final answer
    x = 433,758.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.