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Finding the Third Proportional to 198,444 and 298,113

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Solution

The third proportional to 198,444 and 298,113 is: 447,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,444 : 298,113 = 298,113 : x
  2. Step 2: Convert to fraction form
    198,444/298,113 = 298,113/x
  3. Step 3: Cross multiply
    198,444x = 298,113 × 298,113
  4. Step 4: Simplify right side
    198,444x = 88,871,360,769
  5. Step 5: Solve for x
    x = 88,871,360,769/198,444
  6. Step 6: Final answer
    x = 447,841.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.