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Finding the Third Proportional to 199,074 and 308,250

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Solution

The third proportional to 199,074 and 308,250 is: 477,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,074 : 308,250 = 308,250 : x
  2. Step 2: Convert to fraction form
    199,074/308,250 = 308,250/x
  3. Step 3: Cross multiply
    199,074x = 308,250 × 308,250
  4. Step 4: Simplify right side
    199,074x = 95,018,062,500
  5. Step 5: Solve for x
    x = 95,018,062,500/199,074
  6. Step 6: Final answer
    x = 477,300.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.