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Finding the Third Proportional to 163,534 and 352,874

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Solution

The third proportional to 163,534 and 352,874 is: 761,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,534 : 352,874 = 352,874 : x
  2. Step 2: Convert to fraction form
    163,534/352,874 = 352,874/x
  3. Step 3: Cross multiply
    163,534x = 352,874 × 352,874
  4. Step 4: Simplify right side
    163,534x = 124,520,059,876
  5. Step 5: Solve for x
    x = 124,520,059,876/163,534
  6. Step 6: Final answer
    x = 761,432.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.