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Finding the Third Proportional to 179,228 and 243,556

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Solution

The third proportional to 179,228 and 243,556 is: 330,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,228 : 243,556 = 243,556 : x
  2. Step 2: Convert to fraction form
    179,228/243,556 = 243,556/x
  3. Step 3: Cross multiply
    179,228x = 243,556 × 243,556
  4. Step 4: Simplify right side
    179,228x = 59,319,525,136
  5. Step 5: Solve for x
    x = 59,319,525,136/179,228
  6. Step 6: Final answer
    x = 330,972.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.