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Finding the Third Proportional to 192,784 and 296,692

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Solution

The third proportional to 192,784 and 296,692 is: 456,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,784 : 296,692 = 296,692 : x
  2. Step 2: Convert to fraction form
    192,784/296,692 = 296,692/x
  3. Step 3: Cross multiply
    192,784x = 296,692 × 296,692
  4. Step 4: Simplify right side
    192,784x = 88,026,142,864
  5. Step 5: Solve for x
    x = 88,026,142,864/192,784
  6. Step 6: Final answer
    x = 456,605.02

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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.