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Finding the Third Proportional to 140,732 and 298,736

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Solution

The third proportional to 140,732 and 298,736 is: 634,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,732 : 298,736 = 298,736 : x
  2. Step 2: Convert to fraction form
    140,732/298,736 = 298,736/x
  3. Step 3: Cross multiply
    140,732x = 298,736 × 298,736
  4. Step 4: Simplify right side
    140,732x = 89,243,197,696
  5. Step 5: Solve for x
    x = 89,243,197,696/140,732
  6. Step 6: Final answer
    x = 634,135.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.