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Finding the Third Proportional to 228,971 and 350,274

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Solution

The third proportional to 228,971 and 350,274 is: 535,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,971 : 350,274 = 350,274 : x
  2. Step 2: Convert to fraction form
    228,971/350,274 = 350,274/x
  3. Step 3: Cross multiply
    228,971x = 350,274 × 350,274
  4. Step 4: Simplify right side
    228,971x = 122,691,875,076
  5. Step 5: Solve for x
    x = 122,691,875,076/228,971
  6. Step 6: Final answer
    x = 535,840.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.