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Finding the Third Proportional to 159,468.75 and 229,771.69

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Solution

The third proportional to 159,468.75 and 229,771.69 is: 331,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,468.75 : 229,771.69 = 229,771.69 : x
  2. Step 2: Convert to fraction form
    159,468.75/229,771.69 = 229,771.69/x
  3. Step 3: Cross multiply
    159,468.75x = 229,771.69 × 229,771.69
  4. Step 4: Simplify right side
    159,468.75x = 52,795,028,376.60
  5. Step 5: Solve for x
    x = 52,795,028,376.60/159,468.75
  6. Step 6: Final answer
    x = 331,068.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.