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Finding the Third Proportional to 73,258 and 156,884

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Solution

The third proportional to 73,258 and 156,884 is: 335,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,258 : 156,884 = 156,884 : x
  2. Step 2: Convert to fraction form
    73,258/156,884 = 156,884/x
  3. Step 3: Cross multiply
    73,258x = 156,884 × 156,884
  4. Step 4: Simplify right side
    73,258x = 24,612,589,456
  5. Step 5: Solve for x
    x = 24,612,589,456/73,258
  6. Step 6: Final answer
    x = 335,971.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.