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Finding the Third Proportional to 226,069 and 352,765

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Solution

The third proportional to 226,069 and 352,765 is: 550,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,069 : 352,765 = 352,765 : x
  2. Step 2: Convert to fraction form
    226,069/352,765 = 352,765/x
  3. Step 3: Cross multiply
    226,069x = 352,765 × 352,765
  4. Step 4: Simplify right side
    226,069x = 124,443,145,225
  5. Step 5: Solve for x
    x = 124,443,145,225/226,069
  6. Step 6: Final answer
    x = 550,465.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.