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Finding the Third Proportional to 111,240 and 237,246

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Solution

The third proportional to 111,240 and 237,246 is: 505,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,240 : 237,246 = 237,246 : x
  2. Step 2: Convert to fraction form
    111,240/237,246 = 237,246/x
  3. Step 3: Cross multiply
    111,240x = 237,246 × 237,246
  4. Step 4: Simplify right side
    111,240x = 56,285,664,516
  5. Step 5: Solve for x
    x = 56,285,664,516/111,240
  6. Step 6: Final answer
    x = 505,984.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.