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Finding the Third Proportional to 160,644.94 and 352,812.94

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Solution

The third proportional to 160,644.94 and 352,812.94 is: 774,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,644.94 : 352,812.94 = 352,812.94 : x
  2. Step 2: Convert to fraction form
    160,644.94/352,812.94 = 352,812.94/x
  3. Step 3: Cross multiply
    160,644.94x = 352,812.94 × 352,812.94
  4. Step 4: Simplify right side
    160,644.94x = 124,476,968,867.38
  5. Step 5: Solve for x
    x = 124,476,968,867.38/160,644.94
  6. Step 6: Final answer
    x = 774,857.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.