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Finding the Third Proportional to 162,075 and 337,146

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Solution

The third proportional to 162,075 and 337,146 is: 701,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,075 : 337,146 = 337,146 : x
  2. Step 2: Convert to fraction form
    162,075/337,146 = 337,146/x
  3. Step 3: Cross multiply
    162,075x = 337,146 × 337,146
  4. Step 4: Simplify right side
    162,075x = 113,667,425,316
  5. Step 5: Solve for x
    x = 113,667,425,316/162,075
  6. Step 6: Final answer
    x = 701,326.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.