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Finding the Third Proportional to 200,078 and 308,436

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Solution

The third proportional to 200,078 and 308,436 is: 475,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,078 : 308,436 = 308,436 : x
  2. Step 2: Convert to fraction form
    200,078/308,436 = 308,436/x
  3. Step 3: Cross multiply
    200,078x = 308,436 × 308,436
  4. Step 4: Simplify right side
    200,078x = 95,132,766,096
  5. Step 5: Solve for x
    x = 95,132,766,096/200,078
  6. Step 6: Final answer
    x = 475,478.39

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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.