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Finding the Third Proportional to 89,282 and 195,556

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Solution

The third proportional to 89,282 and 195,556 is: 428,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,282 : 195,556 = 195,556 : x
  2. Step 2: Convert to fraction form
    89,282/195,556 = 195,556/x
  3. Step 3: Cross multiply
    89,282x = 195,556 × 195,556
  4. Step 4: Simplify right side
    89,282x = 38,242,149,136
  5. Step 5: Solve for x
    x = 38,242,149,136/89,282
  6. Step 6: Final answer
    x = 428,329.89

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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.