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Finding the Third Proportional to 179,151.75 and 274,946.06

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Solution

The third proportional to 179,151.75 and 274,946.06 is: 421,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,151.75 : 274,946.06 = 274,946.06 : x
  2. Step 2: Convert to fraction form
    179,151.75/274,946.06 = 274,946.06/x
  3. Step 3: Cross multiply
    179,151.75x = 274,946.06 × 274,946.06
  4. Step 4: Simplify right side
    179,151.75x = 75,595,337,284.25
  5. Step 5: Solve for x
    x = 75,595,337,284.25/179,151.75
  6. Step 6: Final answer
    x = 421,962.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.