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Finding the Third Proportional to 224,228.25 and 337,284

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Solution

The third proportional to 224,228.25 and 337,284 is: 507,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,228.25 : 337,284 = 337,284 : x
  2. Step 2: Convert to fraction form
    224,228.25/337,284 = 337,284/x
  3. Step 3: Cross multiply
    224,228.25x = 337,284 × 337,284
  4. Step 4: Simplify right side
    224,228.25x = 113,760,496,656
  5. Step 5: Solve for x
    x = 113,760,496,656/224,228.25
  6. Step 6: Final answer
    x = 507,342.39

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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.