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Finding the Third Proportional to 237,069 and 522,171

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Solution

The third proportional to 237,069 and 522,171 is: 1,150,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,069 : 522,171 = 522,171 : x
  2. Step 2: Convert to fraction form
    237,069/522,171 = 522,171/x
  3. Step 3: Cross multiply
    237,069x = 522,171 × 522,171
  4. Step 4: Simplify right side
    237,069x = 272,662,553,241
  5. Step 5: Solve for x
    x = 272,662,553,241/237,069
  6. Step 6: Final answer
    x = 1,150,140.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.