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Finding the Third Proportional to 199,393 and 306,481.50

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Solution

The third proportional to 199,393 and 306,481.50 is: 471,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,393 : 306,481.50 = 306,481.50 : x
  2. Step 2: Convert to fraction form
    199,393/306,481.50 = 306,481.50/x
  3. Step 3: Cross multiply
    199,393x = 306,481.50 × 306,481.50
  4. Step 4: Simplify right side
    199,393x = 93,930,909,842.25
  5. Step 5: Solve for x
    x = 93,930,909,842.25/199,393
  6. Step 6: Final answer
    x = 471,084.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.