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Finding the Third Proportional to 159,423.75 and 244,157.63

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Solution

The third proportional to 159,423.75 and 244,157.63 is: 373,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,423.75 : 244,157.63 = 244,157.63 : x
  2. Step 2: Convert to fraction form
    159,423.75/244,157.63 = 244,157.63/x
  3. Step 3: Cross multiply
    159,423.75x = 244,157.63 × 244,157.63
  4. Step 4: Simplify right side
    159,423.75x = 59,612,945,845.64
  5. Step 5: Solve for x
    x = 59,612,945,845.64/159,423.75
  6. Step 6: Final answer
    x = 373,927.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.