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Finding the Third Proportional to 176,075 and 263,437

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Solution

The third proportional to 176,075 and 263,437 is: 394,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,075 : 263,437 = 263,437 : x
  2. Step 2: Convert to fraction form
    176,075/263,437 = 263,437/x
  3. Step 3: Cross multiply
    176,075x = 263,437 × 263,437
  4. Step 4: Simplify right side
    176,075x = 69,399,052,969
  5. Step 5: Solve for x
    x = 69,399,052,969/176,075
  6. Step 6: Final answer
    x = 394,144.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.