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Finding the Third Proportional to 225,456 and 337,480

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Solution

The third proportional to 225,456 and 337,480 is: 505,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,456 : 337,480 = 337,480 : x
  2. Step 2: Convert to fraction form
    225,456/337,480 = 337,480/x
  3. Step 3: Cross multiply
    225,456x = 337,480 × 337,480
  4. Step 4: Simplify right side
    225,456x = 113,892,750,400
  5. Step 5: Solve for x
    x = 113,892,750,400/225,456
  6. Step 6: Final answer
    x = 505,166.20

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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.