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Finding the Third Proportional to 197,383.50 and 415,392.75

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Solution

The third proportional to 197,383.50 and 415,392.75 is: 874,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,383.50 : 415,392.75 = 415,392.75 : x
  2. Step 2: Convert to fraction form
    197,383.50/415,392.75 = 415,392.75/x
  3. Step 3: Cross multiply
    197,383.50x = 415,392.75 × 415,392.75
  4. Step 4: Simplify right side
    197,383.50x = 172,551,136,752.56
  5. Step 5: Solve for x
    x = 172,551,136,752.56/197,383.50
  6. Step 6: Final answer
    x = 874,192.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.