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Finding the Third Proportional to 228,222.50 and 463,357

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Solution

The third proportional to 228,222.50 and 463,357 is: 940,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,222.50 : 463,357 = 463,357 : x
  2. Step 2: Convert to fraction form
    228,222.50/463,357 = 463,357/x
  3. Step 3: Cross multiply
    228,222.50x = 463,357 × 463,357
  4. Step 4: Simplify right side
    228,222.50x = 214,699,709,449
  5. Step 5: Solve for x
    x = 214,699,709,449/228,222.50
  6. Step 6: Final answer
    x = 940,747.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.