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Finding the Third Proportional to 201,126.38 and 298,209.38

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Solution

The third proportional to 201,126.38 and 298,209.38 is: 442,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,126.38 : 298,209.38 = 298,209.38 : x
  2. Step 2: Convert to fraction form
    201,126.38/298,209.38 = 298,209.38/x
  3. Step 3: Cross multiply
    201,126.38x = 298,209.38 × 298,209.38
  4. Step 4: Simplify right side
    201,126.38x = 88,928,831,337.89
  5. Step 5: Solve for x
    x = 88,928,831,337.89/201,126.38
  6. Step 6: Final answer
    x = 442,154.00

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.