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Finding the Third Proportional to 226,095 and 349,929

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Solution

The third proportional to 226,095 and 349,929 is: 541,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,095 : 349,929 = 349,929 : x
  2. Step 2: Convert to fraction form
    226,095/349,929 = 349,929/x
  3. Step 3: Cross multiply
    226,095x = 349,929 × 349,929
  4. Step 4: Simplify right side
    226,095x = 122,450,305,041
  5. Step 5: Solve for x
    x = 122,450,305,041/226,095
  6. Step 6: Final answer
    x = 541,587.85

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