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Finding the Third Proportional to 183,636 and 275,994

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Solution

The third proportional to 183,636 and 275,994 is: 414,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,636 : 275,994 = 275,994 : x
  2. Step 2: Convert to fraction form
    183,636/275,994 = 275,994/x
  3. Step 3: Cross multiply
    183,636x = 275,994 × 275,994
  4. Step 4: Simplify right side
    183,636x = 76,172,688,036
  5. Step 5: Solve for x
    x = 76,172,688,036/183,636
  6. Step 6: Final answer
    x = 414,802.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.