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Finding the Third Proportional to 154,808.30 and 231,491.67

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Solution

The third proportional to 154,808.30 and 231,491.67 is: 346,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,808.30 : 231,491.67 = 231,491.67 : x
  2. Step 2: Convert to fraction form
    154,808.30/231,491.67 = 231,491.67/x
  3. Step 3: Cross multiply
    154,808.30x = 231,491.67 × 231,491.67
  4. Step 4: Simplify right side
    154,808.30x = 53,588,394,147.48
  5. Step 5: Solve for x
    x = 53,588,394,147.48/154,808.30
  6. Step 6: Final answer
    x = 346,159.70

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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.