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Finding the Third Proportional to 298,132 and 443,142

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Solution

The third proportional to 298,132 and 443,142 is: 658,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,132 : 443,142 = 443,142 : x
  2. Step 2: Convert to fraction form
    298,132/443,142 = 443,142/x
  3. Step 3: Cross multiply
    298,132x = 443,142 × 443,142
  4. Step 4: Simplify right side
    298,132x = 196,374,832,164
  5. Step 5: Solve for x
    x = 196,374,832,164/298,132
  6. Step 6: Final answer
    x = 658,684.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.