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Finding the Third Proportional to 203,148 and 437,512.50

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Solution

The third proportional to 203,148 and 437,512.50 is: 942,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,148 : 437,512.50 = 437,512.50 : x
  2. Step 2: Convert to fraction form
    203,148/437,512.50 = 437,512.50/x
  3. Step 3: Cross multiply
    203,148x = 437,512.50 × 437,512.50
  4. Step 4: Simplify right side
    203,148x = 191,417,187,656.25
  5. Step 5: Solve for x
    x = 191,417,187,656.25/203,148
  6. Step 6: Final answer
    x = 942,254.85

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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.