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Finding the Third Proportional to 180,180 and 417,564

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Solution

The third proportional to 180,180 and 417,564 is: 967,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,180 : 417,564 = 417,564 : x
  2. Step 2: Convert to fraction form
    180,180/417,564 = 417,564/x
  3. Step 3: Cross multiply
    180,180x = 417,564 × 417,564
  4. Step 4: Simplify right side
    180,180x = 174,359,694,096
  5. Step 5: Solve for x
    x = 174,359,694,096/180,180
  6. Step 6: Final answer
    x = 967,697.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.