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Finding the Third Proportional to 179,459 and 260,836

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Solution

The third proportional to 179,459 and 260,836 is: 379,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,459 : 260,836 = 260,836 : x
  2. Step 2: Convert to fraction form
    179,459/260,836 = 260,836/x
  3. Step 3: Cross multiply
    179,459x = 260,836 × 260,836
  4. Step 4: Simplify right side
    179,459x = 68,035,418,896
  5. Step 5: Solve for x
    x = 68,035,418,896/179,459
  6. Step 6: Final answer
    x = 379,114.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.