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Finding the Third Proportional to 201,185 and 303,829

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Solution

The third proportional to 201,185 and 303,829 is: 458,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,185 : 303,829 = 303,829 : x
  2. Step 2: Convert to fraction form
    201,185/303,829 = 303,829/x
  3. Step 3: Cross multiply
    201,185x = 303,829 × 303,829
  4. Step 4: Simplify right side
    201,185x = 92,312,061,241
  5. Step 5: Solve for x
    x = 92,312,061,241/201,185
  6. Step 6: Final answer
    x = 458,841.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.