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Finding the Third Proportional to 192,322.69 and 259,368.75

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Solution

The third proportional to 192,322.69 and 259,368.75 is: 349,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,322.69 : 259,368.75 = 259,368.75 : x
  2. Step 2: Convert to fraction form
    192,322.69/259,368.75 = 259,368.75/x
  3. Step 3: Cross multiply
    192,322.69x = 259,368.75 × 259,368.75
  4. Step 4: Simplify right side
    192,322.69x = 67,272,148,476.56
  5. Step 5: Solve for x
    x = 67,272,148,476.56/192,322.69
  6. Step 6: Final answer
    x = 349,787.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.