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Finding the Third Proportional to 88,262 and 180,556

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Solution

The third proportional to 88,262 and 180,556 is: 369,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,262 : 180,556 = 180,556 : x
  2. Step 2: Convert to fraction form
    88,262/180,556 = 180,556/x
  3. Step 3: Cross multiply
    88,262x = 180,556 × 180,556
  4. Step 4: Simplify right side
    88,262x = 32,600,469,136
  5. Step 5: Solve for x
    x = 32,600,469,136/88,262
  6. Step 6: Final answer
    x = 369,360.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.