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Finding the Third Proportional to 228,912.75 and 348,701.63

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Solution

The third proportional to 228,912.75 and 348,701.63 is: 531,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,912.75 : 348,701.63 = 348,701.63 : x
  2. Step 2: Convert to fraction form
    228,912.75/348,701.63 = 348,701.63/x
  3. Step 3: Cross multiply
    228,912.75x = 348,701.63 × 348,701.63
  4. Step 4: Simplify right side
    228,912.75x = 121,592,823,277.64
  5. Step 5: Solve for x
    x = 121,592,823,277.64/228,912.75
  6. Step 6: Final answer
    x = 531,175.41

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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.