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Finding the Third Proportional to 230,171 and 492,324

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Solution

The third proportional to 230,171 and 492,324 is: 1,053,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,171 : 492,324 = 492,324 : x
  2. Step 2: Convert to fraction form
    230,171/492,324 = 492,324/x
  3. Step 3: Cross multiply
    230,171x = 492,324 × 492,324
  4. Step 4: Simplify right side
    230,171x = 242,382,920,976
  5. Step 5: Solve for x
    x = 242,382,920,976/230,171
  6. Step 6: Final answer
    x = 1,053,055.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.