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Finding the Third Proportional to 203,935.50 and 310,221

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Solution

The third proportional to 203,935.50 and 310,221 is: 471,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,935.50 : 310,221 = 310,221 : x
  2. Step 2: Convert to fraction form
    203,935.50/310,221 = 310,221/x
  3. Step 3: Cross multiply
    203,935.50x = 310,221 × 310,221
  4. Step 4: Simplify right side
    203,935.50x = 96,237,068,841
  5. Step 5: Solve for x
    x = 96,237,068,841/203,935.50
  6. Step 6: Final answer
    x = 471,899.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.