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Finding the Third Proportional to 160,176 and 335,472

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Solution

The third proportional to 160,176 and 335,472 is: 702,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,176 : 335,472 = 335,472 : x
  2. Step 2: Convert to fraction form
    160,176/335,472 = 335,472/x
  3. Step 3: Cross multiply
    160,176x = 335,472 × 335,472
  4. Step 4: Simplify right side
    160,176x = 112,541,462,784
  5. Step 5: Solve for x
    x = 112,541,462,784/160,176
  6. Step 6: Final answer
    x = 702,611.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.