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Finding the Third Proportional to 192,809.25 and 296,544.38

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Solution

The third proportional to 192,809.25 and 296,544.38 is: 456,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,809.25 : 296,544.38 = 296,544.38 : x
  2. Step 2: Convert to fraction form
    192,809.25/296,544.38 = 296,544.38/x
  3. Step 3: Cross multiply
    192,809.25x = 296,544.38 × 296,544.38
  4. Step 4: Simplify right side
    192,809.25x = 87,938,566,344.14
  5. Step 5: Solve for x
    x = 87,938,566,344.14/192,809.25
  6. Step 6: Final answer
    x = 456,091.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.