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Finding the Third Proportional to 178,125.75 and 276,805.69

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Solution

The third proportional to 178,125.75 and 276,805.69 is: 430,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,125.75 : 276,805.69 = 276,805.69 : x
  2. Step 2: Convert to fraction form
    178,125.75/276,805.69 = 276,805.69/x
  3. Step 3: Cross multiply
    178,125.75x = 276,805.69 × 276,805.69
  4. Step 4: Simplify right side
    178,125.75x = 76,621,388,632.35
  5. Step 5: Solve for x
    x = 76,621,388,632.35/178,125.75
  6. Step 6: Final answer
    x = 430,153.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.