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Finding the Third Proportional to 177,585 and 268,213.50

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Solution

The third proportional to 177,585 and 268,213.50 is: 405,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,585 : 268,213.50 = 268,213.50 : x
  2. Step 2: Convert to fraction form
    177,585/268,213.50 = 268,213.50/x
  3. Step 3: Cross multiply
    177,585x = 268,213.50 × 268,213.50
  4. Step 4: Simplify right side
    177,585x = 71,938,481,582.25
  5. Step 5: Solve for x
    x = 71,938,481,582.25/177,585
  6. Step 6: Final answer
    x = 405,093.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.