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Finding the Third Proportional to 177,487.88 and 382,039.88

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Solution

The third proportional to 177,487.88 and 382,039.88 is: 822,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,487.88 : 382,039.88 = 382,039.88 : x
  2. Step 2: Convert to fraction form
    177,487.88/382,039.88 = 382,039.88/x
  3. Step 3: Cross multiply
    177,487.88x = 382,039.88 × 382,039.88
  4. Step 4: Simplify right side
    177,487.88x = 145,954,466,090.02
  5. Step 5: Solve for x
    x = 145,954,466,090.02/177,487.88
  6. Step 6: Final answer
    x = 822,334.86

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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.