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Finding the Third Proportional to 183,272 and 283,775

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Solution

The third proportional to 183,272 and 283,775 is: 439,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,272 : 283,775 = 283,775 : x
  2. Step 2: Convert to fraction form
    183,272/283,775 = 283,775/x
  3. Step 3: Cross multiply
    183,272x = 283,775 × 283,775
  4. Step 4: Simplify right side
    183,272x = 80,528,250,625
  5. Step 5: Solve for x
    x = 80,528,250,625/183,272
  6. Step 6: Final answer
    x = 439,392.00

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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.