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Finding the Third Proportional to 158,785 and 225,700

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Solution

The third proportional to 158,785 and 225,700 is: 320,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,785 : 225,700 = 225,700 : x
  2. Step 2: Convert to fraction form
    158,785/225,700 = 225,700/x
  3. Step 3: Cross multiply
    158,785x = 225,700 × 225,700
  4. Step 4: Simplify right side
    158,785x = 50,940,490,000
  5. Step 5: Solve for x
    x = 50,940,490,000/158,785
  6. Step 6: Final answer
    x = 320,814.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.