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Finding the Third Proportional to 183,168 and 289,503

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Solution

The third proportional to 183,168 and 289,503 is: 457,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,168 : 289,503 = 289,503 : x
  2. Step 2: Convert to fraction form
    183,168/289,503 = 289,503/x
  3. Step 3: Cross multiply
    183,168x = 289,503 × 289,503
  4. Step 4: Simplify right side
    183,168x = 83,811,987,009
  5. Step 5: Solve for x
    x = 83,811,987,009/183,168
  6. Step 6: Final answer
    x = 457,568.94

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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.