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Finding the Third Proportional to 298,136 and 443,148

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Solution

The third proportional to 298,136 and 443,148 is: 658,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,136 : 443,148 = 443,148 : x
  2. Step 2: Convert to fraction form
    298,136/443,148 = 443,148/x
  3. Step 3: Cross multiply
    298,136x = 443,148 × 443,148
  4. Step 4: Simplify right side
    298,136x = 196,380,149,904
  5. Step 5: Solve for x
    x = 196,380,149,904/298,136
  6. Step 6: Final answer
    x = 658,693.18

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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.