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Finding the Third Proportional to 199,318 and 298,428

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Solution

The third proportional to 199,318 and 298,428 is: 446,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,318 : 298,428 = 298,428 : x
  2. Step 2: Convert to fraction form
    199,318/298,428 = 298,428/x
  3. Step 3: Cross multiply
    199,318x = 298,428 × 298,428
  4. Step 4: Simplify right side
    199,318x = 89,059,271,184
  5. Step 5: Solve for x
    x = 89,059,271,184/199,318
  6. Step 6: Final answer
    x = 446,820.01

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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.