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Finding the Third Proportional to 224,242 and 337,308

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Solution

The third proportional to 224,242 and 337,308 is: 507,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,242 : 337,308 = 337,308 : x
  2. Step 2: Convert to fraction form
    224,242/337,308 = 337,308/x
  3. Step 3: Cross multiply
    224,242x = 337,308 × 337,308
  4. Step 4: Simplify right side
    224,242x = 113,776,686,864
  5. Step 5: Solve for x
    x = 113,776,686,864/224,242
  6. Step 6: Final answer
    x = 507,383.48

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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.