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Finding the Third Proportional to 130,099.50 and 284,013

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Solution

The third proportional to 130,099.50 and 284,013 is: 620,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,099.50 : 284,013 = 284,013 : x
  2. Step 2: Convert to fraction form
    130,099.50/284,013 = 284,013/x
  3. Step 3: Cross multiply
    130,099.50x = 284,013 × 284,013
  4. Step 4: Simplify right side
    130,099.50x = 80,663,384,169
  5. Step 5: Solve for x
    x = 80,663,384,169/130,099.50
  6. Step 6: Final answer
    x = 620,013.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.