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Finding the Third Proportional to 130,812.75 and 196,219.13

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Solution

The third proportional to 130,812.75 and 196,219.13 is: 294,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,812.75 : 196,219.13 = 196,219.13 : x
  2. Step 2: Convert to fraction form
    130,812.75/196,219.13 = 196,219.13/x
  3. Step 3: Cross multiply
    130,812.75x = 196,219.13 × 196,219.13
  4. Step 4: Simplify right side
    130,812.75x = 38,501,945,015.77
  5. Step 5: Solve for x
    x = 38,501,945,015.77/130,812.75
  6. Step 6: Final answer
    x = 294,328.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.