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Finding the Third Proportional to 158,567 and 217,435

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Solution

The third proportional to 158,567 and 217,435 is: 298,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,567 : 217,435 = 217,435 : x
  2. Step 2: Convert to fraction form
    158,567/217,435 = 217,435/x
  3. Step 3: Cross multiply
    158,567x = 217,435 × 217,435
  4. Step 4: Simplify right side
    158,567x = 47,277,979,225
  5. Step 5: Solve for x
    x = 47,277,979,225/158,567
  6. Step 6: Final answer
    x = 298,157.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.