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Finding the Third Proportional to 177,365 and 280,803

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Solution

The third proportional to 177,365 and 280,803 is: 444,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,365 : 280,803 = 280,803 : x
  2. Step 2: Convert to fraction form
    177,365/280,803 = 280,803/x
  3. Step 3: Cross multiply
    177,365x = 280,803 × 280,803
  4. Step 4: Simplify right side
    177,365x = 78,850,324,809
  5. Step 5: Solve for x
    x = 78,850,324,809/177,365
  6. Step 6: Final answer
    x = 444,565.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.