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Finding the Third Proportional to 158,768 and 225,678

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Solution

The third proportional to 158,768 and 225,678 is: 320,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,768 : 225,678 = 225,678 : x
  2. Step 2: Convert to fraction form
    158,768/225,678 = 225,678/x
  3. Step 3: Cross multiply
    158,768x = 225,678 × 225,678
  4. Step 4: Simplify right side
    158,768x = 50,930,559,684
  5. Step 5: Solve for x
    x = 50,930,559,684/158,768
  6. Step 6: Final answer
    x = 320,786.05

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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.