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Finding the Third Proportional to 192,787.75 and 288,047.63

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Solution

The third proportional to 192,787.75 and 288,047.63 is: 430,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,787.75 : 288,047.63 = 288,047.63 : x
  2. Step 2: Convert to fraction form
    192,787.75/288,047.63 = 288,047.63/x
  3. Step 3: Cross multiply
    192,787.75x = 288,047.63 × 288,047.63
  4. Step 4: Simplify right side
    192,787.75x = 82,971,434,268.14
  5. Step 5: Solve for x
    x = 82,971,434,268.14/192,787.75
  6. Step 6: Final answer
    x = 430,377.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.