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Finding the Third Proportional to 163,911.38 and 356,664.38

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Solution

The third proportional to 163,911.38 and 356,664.38 is: 776,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,911.38 : 356,664.38 = 356,664.38 : x
  2. Step 2: Convert to fraction form
    163,911.38/356,664.38 = 356,664.38/x
  3. Step 3: Cross multiply
    163,911.38x = 356,664.38 × 356,664.38
  4. Step 4: Simplify right side
    163,911.38x = 127,209,476,394.14
  5. Step 5: Solve for x
    x = 127,209,476,394.14/163,911.38
  6. Step 6: Final answer
    x = 776,086.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.