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Finding the Third Proportional to 162,733.50 and 251,471.25

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Solution

The third proportional to 162,733.50 and 251,471.25 is: 388,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,733.50 : 251,471.25 = 251,471.25 : x
  2. Step 2: Convert to fraction form
    162,733.50/251,471.25 = 251,471.25/x
  3. Step 3: Cross multiply
    162,733.50x = 251,471.25 × 251,471.25
  4. Step 4: Simplify right side
    162,733.50x = 63,237,789,576.56
  5. Step 5: Solve for x
    x = 63,237,789,576.56/162,733.50
  6. Step 6: Final answer
    x = 388,597.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.