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Finding the Third Proportional to 228,752 and 347,016

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Solution

The third proportional to 228,752 and 347,016 is: 526,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,752 : 347,016 = 347,016 : x
  2. Step 2: Convert to fraction form
    228,752/347,016 = 347,016/x
  3. Step 3: Cross multiply
    228,752x = 347,016 × 347,016
  4. Step 4: Simplify right side
    228,752x = 120,420,104,256
  5. Step 5: Solve for x
    x = 120,420,104,256/228,752
  6. Step 6: Final answer
    x = 526,422.08

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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.