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Finding the Third Proportional to 237,066 and 366,075

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Solution

The third proportional to 237,066 and 366,075 is: 565,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,066 : 366,075 = 366,075 : x
  2. Step 2: Convert to fraction form
    237,066/366,075 = 366,075/x
  3. Step 3: Cross multiply
    237,066x = 366,075 × 366,075
  4. Step 4: Simplify right side
    237,066x = 134,010,905,625
  5. Step 5: Solve for x
    x = 134,010,905,625/237,066
  6. Step 6: Final answer
    x = 565,289.44

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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.