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Finding the Third Proportional to 163,564 and 352,183

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Solution

The third proportional to 163,564 and 352,183 is: 758,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,564 : 352,183 = 352,183 : x
  2. Step 2: Convert to fraction form
    163,564/352,183 = 352,183/x
  3. Step 3: Cross multiply
    163,564x = 352,183 × 352,183
  4. Step 4: Simplify right side
    163,564x = 124,032,865,489
  5. Step 5: Solve for x
    x = 124,032,865,489/163,564
  6. Step 6: Final answer
    x = 758,313.97

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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.