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Finding the Third Proportional to 73,400 and 160,864

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Solution

The third proportional to 73,400 and 160,864 is: 352,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,400 : 160,864 = 160,864 : x
  2. Step 2: Convert to fraction form
    73,400/160,864 = 160,864/x
  3. Step 3: Cross multiply
    73,400x = 160,864 × 160,864
  4. Step 4: Simplify right side
    73,400x = 25,877,226,496
  5. Step 5: Solve for x
    x = 25,877,226,496/73,400
  6. Step 6: Final answer
    x = 352,550.77

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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.