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Finding the Third Proportional to 176,944 and 384,992

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Solution

The third proportional to 176,944 and 384,992 is: 837,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,944 : 384,992 = 384,992 : x
  2. Step 2: Convert to fraction form
    176,944/384,992 = 384,992/x
  3. Step 3: Cross multiply
    176,944x = 384,992 × 384,992
  4. Step 4: Simplify right side
    176,944x = 148,218,840,064
  5. Step 5: Solve for x
    x = 148,218,840,064/176,944
  6. Step 6: Final answer
    x = 837,659.60

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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.