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Finding the Third Proportional to 123,147 and 180,333

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Solution

The third proportional to 123,147 and 180,333 is: 264,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,147 : 180,333 = 180,333 : x
  2. Step 2: Convert to fraction form
    123,147/180,333 = 180,333/x
  3. Step 3: Cross multiply
    123,147x = 180,333 × 180,333
  4. Step 4: Simplify right side
    123,147x = 32,519,990,889
  5. Step 5: Solve for x
    x = 32,519,990,889/123,147
  6. Step 6: Final answer
    x = 264,074.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.