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Finding the Third Proportional to 154,527.75 and 325,660.50

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Solution

The third proportional to 154,527.75 and 325,660.50 is: 686,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,527.75 : 325,660.50 = 325,660.50 : x
  2. Step 2: Convert to fraction form
    154,527.75/325,660.50 = 325,660.50/x
  3. Step 3: Cross multiply
    154,527.75x = 325,660.50 × 325,660.50
  4. Step 4: Simplify right side
    154,527.75x = 106,054,761,260.25
  5. Step 5: Solve for x
    x = 106,054,761,260.25/154,527.75
  6. Step 6: Final answer
    x = 686,315.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.