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Finding the Third Proportional to 233,696.25 and 350,148.38

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Solution

The third proportional to 233,696.25 and 350,148.38 is: 524,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,696.25 : 350,148.38 = 350,148.38 : x
  2. Step 2: Convert to fraction form
    233,696.25/350,148.38 = 350,148.38/x
  3. Step 3: Cross multiply
    233,696.25x = 350,148.38 × 350,148.38
  4. Step 4: Simplify right side
    233,696.25x = 122,603,884,515.14
  5. Step 5: Solve for x
    x = 122,603,884,515.14/233,696.25
  6. Step 6: Final answer
    x = 524,629.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.