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Finding the Third Proportional to 238,367.25 and 353,427.75

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Solution

The third proportional to 238,367.25 and 353,427.75 is: 524,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,367.25 : 353,427.75 = 353,427.75 : x
  2. Step 2: Convert to fraction form
    238,367.25/353,427.75 = 353,427.75/x
  3. Step 3: Cross multiply
    238,367.25x = 353,427.75 × 353,427.75
  4. Step 4: Simplify right side
    238,367.25x = 124,911,174,470.06
  5. Step 5: Solve for x
    x = 124,911,174,470.06/238,367.25
  6. Step 6: Final answer
    x = 524,028.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.