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Finding the Third Proportional to 224,276 and 337,356

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Solution

The third proportional to 224,276 and 337,356 is: 507,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,276 : 337,356 = 337,356 : x
  2. Step 2: Convert to fraction form
    224,276/337,356 = 337,356/x
  3. Step 3: Cross multiply
    224,276x = 337,356 × 337,356
  4. Step 4: Simplify right side
    224,276x = 113,809,070,736
  5. Step 5: Solve for x
    x = 113,809,070,736/224,276
  6. Step 6: Final answer
    x = 507,450.96

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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.