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Finding the Third Proportional to 262,059.75 and 370,865.25

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Solution

The third proportional to 262,059.75 and 370,865.25 is: 524,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,059.75 : 370,865.25 = 370,865.25 : x
  2. Step 2: Convert to fraction form
    262,059.75/370,865.25 = 370,865.25/x
  3. Step 3: Cross multiply
    262,059.75x = 370,865.25 × 370,865.25
  4. Step 4: Simplify right side
    262,059.75x = 137,541,033,657.56
  5. Step 5: Solve for x
    x = 137,541,033,657.56/262,059.75
  6. Step 6: Final answer
    x = 524,846.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.