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Finding the Third Proportional to 192,567.38 and 287,787.94

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Solution

The third proportional to 192,567.38 and 287,787.94 is: 430,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,567.38 : 287,787.94 = 287,787.94 : x
  2. Step 2: Convert to fraction form
    192,567.38/287,787.94 = 287,787.94/x
  3. Step 3: Cross multiply
    192,567.38x = 287,787.94 × 287,787.94
  4. Step 4: Simplify right side
    192,567.38x = 82,821,896,970.50
  5. Step 5: Solve for x
    x = 82,821,896,970.50/192,567.38
  6. Step 6: Final answer
    x = 430,093.09

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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.