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Finding the Third Proportional to 73,264 and 156,896

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Solution

The third proportional to 73,264 and 156,896 is: 335,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,264 : 156,896 = 156,896 : x
  2. Step 2: Convert to fraction form
    73,264/156,896 = 156,896/x
  3. Step 3: Cross multiply
    73,264x = 156,896 × 156,896
  4. Step 4: Simplify right side
    73,264x = 24,616,354,816
  5. Step 5: Solve for x
    x = 24,616,354,816/73,264
  6. Step 6: Final answer
    x = 335,995.23

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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.