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Finding the Third Proportional to 201,203 and 301,829

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Solution

The third proportional to 201,203 and 301,829 is: 452,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,203 : 301,829 = 301,829 : x
  2. Step 2: Convert to fraction form
    201,203/301,829 = 301,829/x
  3. Step 3: Cross multiply
    201,203x = 301,829 × 301,829
  4. Step 4: Simplify right side
    201,203x = 91,100,745,241
  5. Step 5: Solve for x
    x = 91,100,745,241/201,203
  6. Step 6: Final answer
    x = 452,780.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.