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Finding the Third Proportional to 151,986 and 228,060

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Solution

The third proportional to 151,986 and 228,060 is: 342,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,986 : 228,060 = 228,060 : x
  2. Step 2: Convert to fraction form
    151,986/228,060 = 228,060/x
  3. Step 3: Cross multiply
    151,986x = 228,060 × 228,060
  4. Step 4: Simplify right side
    151,986x = 52,011,363,600
  5. Step 5: Solve for x
    x = 52,011,363,600/151,986
  6. Step 6: Final answer
    x = 342,211.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.