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Finding the Third Proportional to 183,775 and 288,800

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Solution

The third proportional to 183,775 and 288,800 is: 453,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,775 : 288,800 = 288,800 : x
  2. Step 2: Convert to fraction form
    183,775/288,800 = 288,800/x
  3. Step 3: Cross multiply
    183,775x = 288,800 × 288,800
  4. Step 4: Simplify right side
    183,775x = 83,405,440,000
  5. Step 5: Solve for x
    x = 83,405,440,000/183,775
  6. Step 6: Final answer
    x = 453,845.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.