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Finding the Third Proportional to 141,289.50 and 197,629.88

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Solution

The third proportional to 141,289.50 and 197,629.88 is: 276,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,289.50 : 197,629.88 = 197,629.88 : x
  2. Step 2: Convert to fraction form
    141,289.50/197,629.88 = 197,629.88/x
  3. Step 3: Cross multiply
    141,289.50x = 197,629.88 × 197,629.88
  4. Step 4: Simplify right side
    141,289.50x = 39,057,567,492.52
  5. Step 5: Solve for x
    x = 39,057,567,492.52/141,289.50
  6. Step 6: Final answer
    x = 276,436.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.