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Finding the Third Proportional to 236,569 and 340,054

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Solution

The third proportional to 236,569 and 340,054 is: 488,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,569 : 340,054 = 340,054 : x
  2. Step 2: Convert to fraction form
    236,569/340,054 = 340,054/x
  3. Step 3: Cross multiply
    236,569x = 340,054 × 340,054
  4. Step 4: Simplify right side
    236,569x = 115,636,722,916
  5. Step 5: Solve for x
    x = 115,636,722,916/236,569
  6. Step 6: Final answer
    x = 488,807.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.