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Finding the Third Proportional to 166,075 and 364,072

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Solution

The third proportional to 166,075 and 364,072 is: 798,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,075 : 364,072 = 364,072 : x
  2. Step 2: Convert to fraction form
    166,075/364,072 = 364,072/x
  3. Step 3: Cross multiply
    166,075x = 364,072 × 364,072
  4. Step 4: Simplify right side
    166,075x = 132,548,421,184
  5. Step 5: Solve for x
    x = 132,548,421,184/166,075
  6. Step 6: Final answer
    x = 798,123.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.