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Finding the Third Proportional to 231,083.50 and 500,075

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Solution

The third proportional to 231,083.50 and 500,075 is: 1,082,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,083.50 : 500,075 = 500,075 : x
  2. Step 2: Convert to fraction form
    231,083.50/500,075 = 500,075/x
  3. Step 3: Cross multiply
    231,083.50x = 500,075 × 500,075
  4. Step 4: Simplify right side
    231,083.50x = 250,075,005,625
  5. Step 5: Solve for x
    x = 250,075,005,625/231,083.50
  6. Step 6: Final answer
    x = 1,082,184.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.