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Finding the Third Proportional to 192,938 and 294,957

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Solution

The third proportional to 192,938 and 294,957 is: 450,920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,938 : 294,957 = 294,957 : x
  2. Step 2: Convert to fraction form
    192,938/294,957 = 294,957/x
  3. Step 3: Cross multiply
    192,938x = 294,957 × 294,957
  4. Step 4: Simplify right side
    192,938x = 86,999,631,849
  5. Step 5: Solve for x
    x = 86,999,631,849/192,938
  6. Step 6: Final answer
    x = 450,920.15

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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.