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Finding the Third Proportional to 193,008 and 420,000

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Solution

The third proportional to 193,008 and 420,000 is: 913,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,008 : 420,000 = 420,000 : x
  2. Step 2: Convert to fraction form
    193,008/420,000 = 420,000/x
  3. Step 3: Cross multiply
    193,008x = 420,000 × 420,000
  4. Step 4: Simplify right side
    193,008x = 176,400,000,000
  5. Step 5: Solve for x
    x = 176,400,000,000/193,008
  6. Step 6: Final answer
    x = 913,951.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.