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Finding the Third Proportional to 132,999 and 203,475.75

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Solution

The third proportional to 132,999 and 203,475.75 is: 311,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,999 : 203,475.75 = 203,475.75 : x
  2. Step 2: Convert to fraction form
    132,999/203,475.75 = 203,475.75/x
  3. Step 3: Cross multiply
    132,999x = 203,475.75 × 203,475.75
  4. Step 4: Simplify right side
    132,999x = 41,402,380,838.06
  5. Step 5: Solve for x
    x = 41,402,380,838.06/132,999
  6. Step 6: Final answer
    x = 311,298.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.