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Finding the Third Proportional to 244,256 and 348,645

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Solution

The third proportional to 244,256 and 348,645 is: 497,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,256 : 348,645 = 348,645 : x
  2. Step 2: Convert to fraction form
    244,256/348,645 = 348,645/x
  3. Step 3: Cross multiply
    244,256x = 348,645 × 348,645
  4. Step 4: Simplify right side
    244,256x = 121,553,336,025
  5. Step 5: Solve for x
    x = 121,553,336,025/244,256
  6. Step 6: Final answer
    x = 497,647.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.