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Finding the Third Proportional to 235,284.75 and 355,136.91

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Solution

The third proportional to 235,284.75 and 355,136.91 is: 536,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,284.75 : 355,136.91 = 355,136.91 : x
  2. Step 2: Convert to fraction form
    235,284.75/355,136.91 = 355,136.91/x
  3. Step 3: Cross multiply
    235,284.75x = 355,136.91 × 355,136.91
  4. Step 4: Simplify right side
    235,284.75x = 126,122,222,180.82
  5. Step 5: Solve for x
    x = 126,122,222,180.82/235,284.75
  6. Step 6: Final answer
    x = 536,040.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.