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Finding the Third Proportional to 116,235 and 163,674

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Solution

The third proportional to 116,235 and 163,674 is: 230,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,235 : 163,674 = 163,674 : x
  2. Step 2: Convert to fraction form
    116,235/163,674 = 163,674/x
  3. Step 3: Cross multiply
    116,235x = 163,674 × 163,674
  4. Step 4: Simplify right side
    116,235x = 26,789,178,276
  5. Step 5: Solve for x
    x = 26,789,178,276/116,235
  6. Step 6: Final answer
    x = 230,474.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.