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Finding the Third Proportional to 230,167 and 492,314

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Solution

The third proportional to 230,167 and 492,314 is: 1,053,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,167 : 492,314 = 492,314 : x
  2. Step 2: Convert to fraction form
    230,167/492,314 = 492,314/x
  3. Step 3: Cross multiply
    230,167x = 492,314 × 492,314
  4. Step 4: Simplify right side
    230,167x = 242,373,074,596
  5. Step 5: Solve for x
    x = 242,373,074,596/230,167
  6. Step 6: Final answer
    x = 1,053,031.38

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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.