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Finding the Third Proportional to 129,318 and 200,701.50

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Solution

The third proportional to 129,318 and 200,701.50 is: 311,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,318 : 200,701.50 = 200,701.50 : x
  2. Step 2: Convert to fraction form
    129,318/200,701.50 = 200,701.50/x
  3. Step 3: Cross multiply
    129,318x = 200,701.50 × 200,701.50
  4. Step 4: Simplify right side
    129,318x = 40,281,092,102.25
  5. Step 5: Solve for x
    x = 40,281,092,102.25/129,318
  6. Step 6: Final answer
    x = 311,488.67

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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.