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Finding the Third Proportional to 201,753 and 302,242

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Solution

The third proportional to 201,753 and 302,242 is: 452,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,753 : 302,242 = 302,242 : x
  2. Step 2: Convert to fraction form
    201,753/302,242 = 302,242/x
  3. Step 3: Cross multiply
    201,753x = 302,242 × 302,242
  4. Step 4: Simplify right side
    201,753x = 91,350,226,564
  5. Step 5: Solve for x
    x = 91,350,226,564/201,753
  6. Step 6: Final answer
    x = 452,782.49

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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.