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Finding the Third Proportional to 180,620 and 286,238

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Solution

The third proportional to 180,620 and 286,238 is: 453,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,620 : 286,238 = 286,238 : x
  2. Step 2: Convert to fraction form
    180,620/286,238 = 286,238/x
  3. Step 3: Cross multiply
    180,620x = 286,238 × 286,238
  4. Step 4: Simplify right side
    180,620x = 81,932,192,644
  5. Step 5: Solve for x
    x = 81,932,192,644/180,620
  6. Step 6: Final answer
    x = 453,616.39

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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.