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Finding the Third Proportional to 178,989.75 and 385,998.75

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Solution

The third proportional to 178,989.75 and 385,998.75 is: 832,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,989.75 : 385,998.75 = 385,998.75 : x
  2. Step 2: Convert to fraction form
    178,989.75/385,998.75 = 385,998.75/x
  3. Step 3: Cross multiply
    178,989.75x = 385,998.75 × 385,998.75
  4. Step 4: Simplify right side
    178,989.75x = 148,995,035,001.56
  5. Step 5: Solve for x
    x = 148,995,035,001.56/178,989.75
  6. Step 6: Final answer
    x = 832,422.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.