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Finding the Third Proportional to 197,404.50 and 281,343

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Solution

The third proportional to 197,404.50 and 281,343 is: 400,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,404.50 : 281,343 = 281,343 : x
  2. Step 2: Convert to fraction form
    197,404.50/281,343 = 281,343/x
  3. Step 3: Cross multiply
    197,404.50x = 281,343 × 281,343
  4. Step 4: Simplify right side
    197,404.50x = 79,153,883,649
  5. Step 5: Solve for x
    x = 79,153,883,649/197,404.50
  6. Step 6: Final answer
    x = 400,973.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.