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Finding the Third Proportional to 160,746 and 388,896

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Solution

The third proportional to 160,746 and 388,896 is: 940,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,746 : 388,896 = 388,896 : x
  2. Step 2: Convert to fraction form
    160,746/388,896 = 388,896/x
  3. Step 3: Cross multiply
    160,746x = 388,896 × 388,896
  4. Step 4: Simplify right side
    160,746x = 151,240,098,816
  5. Step 5: Solve for x
    x = 151,240,098,816/160,746
  6. Step 6: Final answer
    x = 940,863.84

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.