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Finding the Third Proportional to 88,580 and 193,698

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Solution

The third proportional to 88,580 and 193,698 is: 423,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,580 : 193,698 = 193,698 : x
  2. Step 2: Convert to fraction form
    88,580/193,698 = 193,698/x
  3. Step 3: Cross multiply
    88,580x = 193,698 × 193,698
  4. Step 4: Simplify right side
    88,580x = 37,518,915,204
  5. Step 5: Solve for x
    x = 37,518,915,204/88,580
  6. Step 6: Final answer
    x = 423,559.67

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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.