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Finding the Third Proportional to 88,478 and 193,567

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Solution

The third proportional to 88,478 and 193,567 is: 423,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,478 : 193,567 = 193,567 : x
  2. Step 2: Convert to fraction form
    88,478/193,567 = 193,567/x
  3. Step 3: Cross multiply
    88,478x = 193,567 × 193,567
  4. Step 4: Simplify right side
    88,478x = 37,468,183,489
  5. Step 5: Solve for x
    x = 37,468,183,489/88,478
  6. Step 6: Final answer
    x = 423,474.58

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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.