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Finding the Third Proportional to 230,197 and 492,369

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Solution

The third proportional to 230,197 and 492,369 is: 1,053,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,197 : 492,369 = 492,369 : x
  2. Step 2: Convert to fraction form
    230,197/492,369 = 492,369/x
  3. Step 3: Cross multiply
    230,197x = 492,369 × 492,369
  4. Step 4: Simplify right side
    230,197x = 242,427,232,161
  5. Step 5: Solve for x
    x = 242,427,232,161/230,197
  6. Step 6: Final answer
    x = 1,053,129.42

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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.