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Finding the Third Proportional to 159,421.50 and 244,154.25

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Solution

The third proportional to 159,421.50 and 244,154.25 is: 373,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,421.50 : 244,154.25 = 244,154.25 : x
  2. Step 2: Convert to fraction form
    159,421.50/244,154.25 = 244,154.25/x
  3. Step 3: Cross multiply
    159,421.50x = 244,154.25 × 244,154.25
  4. Step 4: Simplify right side
    159,421.50x = 59,611,297,793.06
  5. Step 5: Solve for x
    x = 59,611,297,793.06/159,421.50
  6. Step 6: Final answer
    x = 373,922.58

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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.