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Finding the Third Proportional to 183,306.75 and 282,075

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Solution

The third proportional to 183,306.75 and 282,075 is: 434,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,306.75 : 282,075 = 282,075 : x
  2. Step 2: Convert to fraction form
    183,306.75/282,075 = 282,075/x
  3. Step 3: Cross multiply
    183,306.75x = 282,075 × 282,075
  4. Step 4: Simplify right side
    183,306.75x = 79,566,305,625
  5. Step 5: Solve for x
    x = 79,566,305,625/183,306.75
  6. Step 6: Final answer
    x = 434,060.97

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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.