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Finding the Third Proportional to 154,461.50 and 231,133

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Solution

The third proportional to 154,461.50 and 231,133 is: 345,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,461.50 : 231,133 = 231,133 : x
  2. Step 2: Convert to fraction form
    154,461.50/231,133 = 231,133/x
  3. Step 3: Cross multiply
    154,461.50x = 231,133 × 231,133
  4. Step 4: Simplify right side
    154,461.50x = 53,422,463,689
  5. Step 5: Solve for x
    x = 53,422,463,689/154,461.50
  6. Step 6: Final answer
    x = 345,862.65

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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.