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Finding the Third Proportional to 166,941 and 266,692.50

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Solution

The third proportional to 166,941 and 266,692.50 is: 426,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,941 : 266,692.50 = 266,692.50 : x
  2. Step 2: Convert to fraction form
    166,941/266,692.50 = 266,692.50/x
  3. Step 3: Cross multiply
    166,941x = 266,692.50 × 266,692.50
  4. Step 4: Simplify right side
    166,941x = 71,124,889,556.25
  5. Step 5: Solve for x
    x = 71,124,889,556.25/166,941
  6. Step 6: Final answer
    x = 426,048.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.