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Finding the Third Proportional to 74,808 and 163,694

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Solution

The third proportional to 74,808 and 163,694 is: 358,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,808 : 163,694 = 163,694 : x
  2. Step 2: Convert to fraction form
    74,808/163,694 = 163,694/x
  3. Step 3: Cross multiply
    74,808x = 163,694 × 163,694
  4. Step 4: Simplify right side
    74,808x = 26,795,725,636
  5. Step 5: Solve for x
    x = 26,795,725,636/74,808
  6. Step 6: Final answer
    x = 358,193.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.