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Finding the Third Proportional to 180,924 and 393,972

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Solution

The third proportional to 180,924 and 393,972 is: 857,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,924 : 393,972 = 393,972 : x
  2. Step 2: Convert to fraction form
    180,924/393,972 = 393,972/x
  3. Step 3: Cross multiply
    180,924x = 393,972 × 393,972
  4. Step 4: Simplify right side
    180,924x = 155,213,936,784
  5. Step 5: Solve for x
    x = 155,213,936,784/180,924
  6. Step 6: Final answer
    x = 857,895.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.