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Finding the Third Proportional to 101,502 and 218,556

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Solution

The third proportional to 101,502 and 218,556 is: 470,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,502 : 218,556 = 218,556 : x
  2. Step 2: Convert to fraction form
    101,502/218,556 = 218,556/x
  3. Step 3: Cross multiply
    101,502x = 218,556 × 218,556
  4. Step 4: Simplify right side
    101,502x = 47,766,725,136
  5. Step 5: Solve for x
    x = 47,766,725,136/101,502
  6. Step 6: Final answer
    x = 470,598.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.