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Finding the Third Proportional to 230,184 and 476,348

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Solution

The third proportional to 230,184 and 476,348 is: 985,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,184 : 476,348 = 476,348 : x
  2. Step 2: Convert to fraction form
    230,184/476,348 = 476,348/x
  3. Step 3: Cross multiply
    230,184x = 476,348 × 476,348
  4. Step 4: Simplify right side
    230,184x = 226,907,417,104
  5. Step 5: Solve for x
    x = 226,907,417,104/230,184
  6. Step 6: Final answer
    x = 985,765.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.