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Finding the Third Proportional to 149,052 and 224,980

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Solution

The third proportional to 149,052 and 224,980 is: 339,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,052 : 224,980 = 224,980 : x
  2. Step 2: Convert to fraction form
    149,052/224,980 = 224,980/x
  3. Step 3: Cross multiply
    149,052x = 224,980 × 224,980
  4. Step 4: Simplify right side
    149,052x = 50,616,000,400
  5. Step 5: Solve for x
    x = 50,616,000,400/149,052
  6. Step 6: Final answer
    x = 339,586.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.