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Finding the Third Proportional to 160,548 and 330,816

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Solution

The third proportional to 160,548 and 330,816 is: 681,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,548 : 330,816 = 330,816 : x
  2. Step 2: Convert to fraction form
    160,548/330,816 = 330,816/x
  3. Step 3: Cross multiply
    160,548x = 330,816 × 330,816
  4. Step 4: Simplify right side
    160,548x = 109,439,225,856
  5. Step 5: Solve for x
    x = 109,439,225,856/160,548
  6. Step 6: Final answer
    x = 681,660.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.