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Finding the Third Proportional to 161,903.25 and 227,029.50

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Solution

The third proportional to 161,903.25 and 227,029.50 is: 318,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,903.25 : 227,029.50 = 227,029.50 : x
  2. Step 2: Convert to fraction form
    161,903.25/227,029.50 = 227,029.50/x
  3. Step 3: Cross multiply
    161,903.25x = 227,029.50 × 227,029.50
  4. Step 4: Simplify right side
    161,903.25x = 51,542,393,870.25
  5. Step 5: Solve for x
    x = 51,542,393,870.25/161,903.25
  6. Step 6: Final answer
    x = 318,353.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.