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Finding the Third Proportional to 116,240 and 237,392

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Solution

The third proportional to 116,240 and 237,392 is: 484,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,240 : 237,392 = 237,392 : x
  2. Step 2: Convert to fraction form
    116,240/237,392 = 237,392/x
  3. Step 3: Cross multiply
    116,240x = 237,392 × 237,392
  4. Step 4: Simplify right side
    116,240x = 56,354,961,664
  5. Step 5: Solve for x
    x = 56,354,961,664/116,240
  6. Step 6: Final answer
    x = 484,815.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.