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Finding the Third Proportional to 149,000 and 233,100

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Solution

The third proportional to 149,000 and 233,100 is: 364,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,000 : 233,100 = 233,100 : x
  2. Step 2: Convert to fraction form
    149,000/233,100 = 233,100/x
  3. Step 3: Cross multiply
    149,000x = 233,100 × 233,100
  4. Step 4: Simplify right side
    149,000x = 54,335,610,000
  5. Step 5: Solve for x
    x = 54,335,610,000/149,000
  6. Step 6: Final answer
    x = 364,668.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.