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Finding the Third Proportional to 189,513.75 and 412,435.50

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Solution

The third proportional to 189,513.75 and 412,435.50 is: 897,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,513.75 : 412,435.50 = 412,435.50 : x
  2. Step 2: Convert to fraction form
    189,513.75/412,435.50 = 412,435.50/x
  3. Step 3: Cross multiply
    189,513.75x = 412,435.50 × 412,435.50
  4. Step 4: Simplify right side
    189,513.75x = 170,103,041,660.25
  5. Step 5: Solve for x
    x = 170,103,041,660.25/189,513.75
  6. Step 6: Final answer
    x = 897,576.25

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Why These Related Problems?

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