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Finding the Third Proportional to 177,375 and 410,206.50

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Solution

The third proportional to 177,375 and 410,206.50 is: 948,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,375 : 410,206.50 = 410,206.50 : x
  2. Step 2: Convert to fraction form
    177,375/410,206.50 = 410,206.50/x
  3. Step 3: Cross multiply
    177,375x = 410,206.50 × 410,206.50
  4. Step 4: Simplify right side
    177,375x = 168,269,372,642.25
  5. Step 5: Solve for x
    x = 168,269,372,642.25/177,375
  6. Step 6: Final answer
    x = 948,664.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.