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Finding the Third Proportional to 201,568.50 and 434,362.50

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Solution

The third proportional to 201,568.50 and 434,362.50 is: 936,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,568.50 : 434,362.50 = 434,362.50 : x
  2. Step 2: Convert to fraction form
    201,568.50/434,362.50 = 434,362.50/x
  3. Step 3: Cross multiply
    201,568.50x = 434,362.50 × 434,362.50
  4. Step 4: Simplify right side
    201,568.50x = 188,670,781,406.25
  5. Step 5: Solve for x
    x = 188,670,781,406.25/201,568.50
  6. Step 6: Final answer
    x = 936,013.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.