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Finding the Third Proportional to 192,853.50 and 294,175.50

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Solution

The third proportional to 192,853.50 and 294,175.50 is: 448,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,853.50 : 294,175.50 = 294,175.50 : x
  2. Step 2: Convert to fraction form
    192,853.50/294,175.50 = 294,175.50/x
  3. Step 3: Cross multiply
    192,853.50x = 294,175.50 × 294,175.50
  4. Step 4: Simplify right side
    192,853.50x = 86,539,224,800.25
  5. Step 5: Solve for x
    x = 86,539,224,800.25/192,853.50
  6. Step 6: Final answer
    x = 448,730.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.