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Finding the Third Proportional to 154,899.75 and 229,470.75

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Solution

The third proportional to 154,899.75 and 229,470.75 is: 339,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,899.75 : 229,470.75 = 229,470.75 : x
  2. Step 2: Convert to fraction form
    154,899.75/229,470.75 = 229,470.75/x
  3. Step 3: Cross multiply
    154,899.75x = 229,470.75 × 229,470.75
  4. Step 4: Simplify right side
    154,899.75x = 52,656,825,105.56
  5. Step 5: Solve for x
    x = 52,656,825,105.56/154,899.75
  6. Step 6: Final answer
    x = 339,941.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.