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Finding the Third Proportional to 201,264.75 and 426,485.25

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Solution

The third proportional to 201,264.75 and 426,485.25 is: 903,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,264.75 : 426,485.25 = 426,485.25 : x
  2. Step 2: Convert to fraction form
    201,264.75/426,485.25 = 426,485.25/x
  3. Step 3: Cross multiply
    201,264.75x = 426,485.25 × 426,485.25
  4. Step 4: Simplify right side
    201,264.75x = 181,889,668,467.56
  5. Step 5: Solve for x
    x = 181,889,668,467.56/201,264.75
  6. Step 6: Final answer
    x = 903,733.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.