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Finding the Third Proportional to 227,672 and 342,243

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Solution

The third proportional to 227,672 and 342,243 is: 514,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,672 : 342,243 = 342,243 : x
  2. Step 2: Convert to fraction form
    227,672/342,243 = 342,243/x
  3. Step 3: Cross multiply
    227,672x = 342,243 × 342,243
  4. Step 4: Simplify right side
    227,672x = 117,130,271,049
  5. Step 5: Solve for x
    x = 117,130,271,049/227,672
  6. Step 6: Final answer
    x = 514,469.37

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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.