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Finding the Third Proportional to 162,000 and 228,034

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Solution

The third proportional to 162,000 and 228,034 is: 320,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,000 : 228,034 = 228,034 : x
  2. Step 2: Convert to fraction form
    162,000/228,034 = 228,034/x
  3. Step 3: Cross multiply
    162,000x = 228,034 × 228,034
  4. Step 4: Simplify right side
    162,000x = 51,999,505,156
  5. Step 5: Solve for x
    x = 51,999,505,156/162,000
  6. Step 6: Final answer
    x = 320,984.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.