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Finding the Third Proportional to 224,848 and 336,688

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Solution

The third proportional to 224,848 and 336,688 is: 504,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,848 : 336,688 = 336,688 : x
  2. Step 2: Convert to fraction form
    224,848/336,688 = 336,688/x
  3. Step 3: Cross multiply
    224,848x = 336,688 × 336,688
  4. Step 4: Simplify right side
    224,848x = 113,358,809,344
  5. Step 5: Solve for x
    x = 113,358,809,344/224,848
  6. Step 6: Final answer
    x = 504,157.52

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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.