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Finding the Third Proportional to 163,728 and 352,644

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Solution

The third proportional to 163,728 and 352,644 is: 759,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,728 : 352,644 = 352,644 : x
  2. Step 2: Convert to fraction form
    163,728/352,644 = 352,644/x
  3. Step 3: Cross multiply
    163,728x = 352,644 × 352,644
  4. Step 4: Simplify right side
    163,728x = 124,357,790,736
  5. Step 5: Solve for x
    x = 124,357,790,736/163,728
  6. Step 6: Final answer
    x = 759,538.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.