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Finding the Third Proportional to 129,330 and 200,719.50

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Solution

The third proportional to 129,330 and 200,719.50 is: 311,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,330 : 200,719.50 = 200,719.50 : x
  2. Step 2: Convert to fraction form
    129,330/200,719.50 = 200,719.50/x
  3. Step 3: Cross multiply
    129,330x = 200,719.50 × 200,719.50
  4. Step 4: Simplify right side
    129,330x = 40,288,317,680.25
  5. Step 5: Solve for x
    x = 40,288,317,680.25/129,330
  6. Step 6: Final answer
    x = 311,515.64

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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.