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Finding the Third Proportional to 231,025.50 and 505,532.25

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Solution

The third proportional to 231,025.50 and 505,532.25 is: 1,106,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,025.50 : 505,532.25 = 505,532.25 : x
  2. Step 2: Convert to fraction form
    231,025.50/505,532.25 = 505,532.25/x
  3. Step 3: Cross multiply
    231,025.50x = 505,532.25 × 505,532.25
  4. Step 4: Simplify right side
    231,025.50x = 255,562,855,790.06
  5. Step 5: Solve for x
    x = 255,562,855,790.06/231,025.50
  6. Step 6: Final answer
    x = 1,106,210.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.