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Finding the Third Proportional to 152,016 and 228,936

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Solution

The third proportional to 152,016 and 228,936 is: 344,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,016 : 228,936 = 228,936 : x
  2. Step 2: Convert to fraction form
    152,016/228,936 = 228,936/x
  3. Step 3: Cross multiply
    152,016x = 228,936 × 228,936
  4. Step 4: Simplify right side
    152,016x = 52,411,692,096
  5. Step 5: Solve for x
    x = 52,411,692,096/152,016
  6. Step 6: Final answer
    x = 344,777.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.