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Finding the Third Proportional to 201,234 and 302,355

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Solution

The third proportional to 201,234 and 302,355 is: 454,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,234 : 302,355 = 302,355 : x
  2. Step 2: Convert to fraction form
    201,234/302,355 = 302,355/x
  3. Step 3: Cross multiply
    201,234x = 302,355 × 302,355
  4. Step 4: Simplify right side
    201,234x = 91,418,546,025
  5. Step 5: Solve for x
    x = 91,418,546,025/201,234
  6. Step 6: Final answer
    x = 454,289.76

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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.