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Finding the Third Proportional to 181,503 and 258,075

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Solution

The third proportional to 181,503 and 258,075 is: 366,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,503 : 258,075 = 258,075 : x
  2. Step 2: Convert to fraction form
    181,503/258,075 = 258,075/x
  3. Step 3: Cross multiply
    181,503x = 258,075 × 258,075
  4. Step 4: Simplify right side
    181,503x = 66,602,705,625
  5. Step 5: Solve for x
    x = 66,602,705,625/181,503
  6. Step 6: Final answer
    x = 366,950.99

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.