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Finding the Third Proportional to 226,069 and 349,730

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Solution

The third proportional to 226,069 and 349,730 is: 541,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,069 : 349,730 = 349,730 : x
  2. Step 2: Convert to fraction form
    226,069/349,730 = 349,730/x
  3. Step 3: Cross multiply
    226,069x = 349,730 × 349,730
  4. Step 4: Simplify right side
    226,069x = 122,311,072,900
  5. Step 5: Solve for x
    x = 122,311,072,900/226,069
  6. Step 6: Final answer
    x = 541,034.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.