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Finding the Third Proportional to 225,363 and 337,341

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Solution

The third proportional to 225,363 and 337,341 is: 504,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,363 : 337,341 = 337,341 : x
  2. Step 2: Convert to fraction form
    225,363/337,341 = 337,341/x
  3. Step 3: Cross multiply
    225,363x = 337,341 × 337,341
  4. Step 4: Simplify right side
    225,363x = 113,798,950,281
  5. Step 5: Solve for x
    x = 113,798,950,281/225,363
  6. Step 6: Final answer
    x = 504,958.45

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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.