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Finding the Third Proportional to 201,353 and 302,010

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Solution

The third proportional to 201,353 and 302,010 is: 452,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,353 : 302,010 = 302,010 : x
  2. Step 2: Convert to fraction form
    201,353/302,010 = 302,010/x
  3. Step 3: Cross multiply
    201,353x = 302,010 × 302,010
  4. Step 4: Simplify right side
    201,353x = 91,210,040,100
  5. Step 5: Solve for x
    x = 91,210,040,100/201,353
  6. Step 6: Final answer
    x = 452,985.75

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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.