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Finding the Third Proportional to 163,140 and 241,676

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Solution

The third proportional to 163,140 and 241,676 is: 358,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,140 : 241,676 = 241,676 : x
  2. Step 2: Convert to fraction form
    163,140/241,676 = 241,676/x
  3. Step 3: Cross multiply
    163,140x = 241,676 × 241,676
  4. Step 4: Simplify right side
    163,140x = 58,407,288,976
  5. Step 5: Solve for x
    x = 58,407,288,976/163,140
  6. Step 6: Final answer
    x = 358,019.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.