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Finding the Third Proportional to 183,867 and 288,915

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Solution

The third proportional to 183,867 and 288,915 is: 453,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,867 : 288,915 = 288,915 : x
  2. Step 2: Convert to fraction form
    183,867/288,915 = 288,915/x
  3. Step 3: Cross multiply
    183,867x = 288,915 × 288,915
  4. Step 4: Simplify right side
    183,867x = 83,471,877,225
  5. Step 5: Solve for x
    x = 83,471,877,225/183,867
  6. Step 6: Final answer
    x = 453,979.65

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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.