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Finding the Third Proportional to 228,767 and 347,039

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Solution

The third proportional to 228,767 and 347,039 is: 526,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,767 : 347,039 = 347,039 : x
  2. Step 2: Convert to fraction form
    228,767/347,039 = 347,039/x
  3. Step 3: Cross multiply
    228,767x = 347,039 × 347,039
  4. Step 4: Simplify right side
    228,767x = 120,436,067,521
  5. Step 5: Solve for x
    x = 120,436,067,521/228,767
  6. Step 6: Final answer
    x = 526,457.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.