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Finding the Third Proportional to 183,652 and 283,578

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Solution

The third proportional to 183,652 and 283,578 is: 437,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,652 : 283,578 = 283,578 : x
  2. Step 2: Convert to fraction form
    183,652/283,578 = 283,578/x
  3. Step 3: Cross multiply
    183,652x = 283,578 × 283,578
  4. Step 4: Simplify right side
    183,652x = 80,416,482,084
  5. Step 5: Solve for x
    x = 80,416,482,084/183,652
  6. Step 6: Final answer
    x = 437,874.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.