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Finding the Third Proportional to 203,166 and 437,548.50

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Solution

The third proportional to 203,166 and 437,548.50 is: 942,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,166 : 437,548.50 = 437,548.50 : x
  2. Step 2: Convert to fraction form
    203,166/437,548.50 = 437,548.50/x
  3. Step 3: Cross multiply
    203,166x = 437,548.50 × 437,548.50
  4. Step 4: Simplify right side
    203,166x = 191,448,689,852.25
  5. Step 5: Solve for x
    x = 191,448,689,852.25/203,166
  6. Step 6: Final answer
    x = 942,326.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.