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Finding the Third Proportional to 151,985 and 228,059

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Solution

The third proportional to 151,985 and 228,059 is: 342,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,985 : 228,059 = 228,059 : x
  2. Step 2: Convert to fraction form
    151,985/228,059 = 228,059/x
  3. Step 3: Cross multiply
    151,985x = 228,059 × 228,059
  4. Step 4: Simplify right side
    151,985x = 52,010,907,481
  5. Step 5: Solve for x
    x = 52,010,907,481/151,985
  6. Step 6: Final answer
    x = 342,210.79

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Why These Related Problems?

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