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Finding the Third Proportional to 176,883 and 280,083

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Solution

The third proportional to 176,883 and 280,083 is: 443,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,883 : 280,083 = 280,083 : x
  2. Step 2: Convert to fraction form
    176,883/280,083 = 280,083/x
  3. Step 3: Cross multiply
    176,883x = 280,083 × 280,083
  4. Step 4: Simplify right side
    176,883x = 78,446,486,889
  5. Step 5: Solve for x
    x = 78,446,486,889/176,883
  6. Step 6: Final answer
    x = 443,493.65

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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.