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Finding the Third Proportional to 194,548.50 and 426,003

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Solution

The third proportional to 194,548.50 and 426,003 is: 932,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,548.50 : 426,003 = 426,003 : x
  2. Step 2: Convert to fraction form
    194,548.50/426,003 = 426,003/x
  3. Step 3: Cross multiply
    194,548.50x = 426,003 × 426,003
  4. Step 4: Simplify right side
    194,548.50x = 181,478,556,009
  5. Step 5: Solve for x
    x = 181,478,556,009/194,548.50
  6. Step 6: Final answer
    x = 932,819.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.