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Finding the Third Proportional to 201,197 and 301,820

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Solution

The third proportional to 201,197 and 301,820 is: 452,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,197 : 301,820 = 301,820 : x
  2. Step 2: Convert to fraction form
    201,197/301,820 = 301,820/x
  3. Step 3: Cross multiply
    201,197x = 301,820 × 301,820
  4. Step 4: Simplify right side
    201,197x = 91,095,312,400
  5. Step 5: Solve for x
    x = 91,095,312,400/201,197
  6. Step 6: Final answer
    x = 452,766.75

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Why These Related Problems?

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