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Finding the Third Proportional to 163,674 and 352,377

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Solution

The third proportional to 163,674 and 352,377 is: 758,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,674 : 352,377 = 352,377 : x
  2. Step 2: Convert to fraction form
    163,674/352,377 = 352,377/x
  3. Step 3: Cross multiply
    163,674x = 352,377 × 352,377
  4. Step 4: Simplify right side
    163,674x = 124,169,550,129
  5. Step 5: Solve for x
    x = 124,169,550,129/163,674
  6. Step 6: Final answer
    x = 758,639.43

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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.