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Finding the Third Proportional to 129,451.50 and 200,898

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Solution

The third proportional to 129,451.50 and 200,898 is: 311,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,451.50 : 200,898 = 200,898 : x
  2. Step 2: Convert to fraction form
    129,451.50/200,898 = 200,898/x
  3. Step 3: Cross multiply
    129,451.50x = 200,898 × 200,898
  4. Step 4: Simplify right side
    129,451.50x = 40,360,006,404
  5. Step 5: Solve for x
    x = 40,360,006,404/129,451.50
  6. Step 6: Final answer
    x = 311,777.05

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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.