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Finding the Third Proportional to 180,981 and 385,998.75

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Solution

The third proportional to 180,981 and 385,998.75 is: 823,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,981 : 385,998.75 = 385,998.75 : x
  2. Step 2: Convert to fraction form
    180,981/385,998.75 = 385,998.75/x
  3. Step 3: Cross multiply
    180,981x = 385,998.75 × 385,998.75
  4. Step 4: Simplify right side
    180,981x = 148,995,035,001.56
  5. Step 5: Solve for x
    x = 148,995,035,001.56/180,981
  6. Step 6: Final answer
    x = 823,263.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.