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Finding the Third Proportional to 236,514 and 345,969

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Solution

The third proportional to 236,514 and 345,969 is: 506,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,514 : 345,969 = 345,969 : x
  2. Step 2: Convert to fraction form
    236,514/345,969 = 345,969/x
  3. Step 3: Cross multiply
    236,514x = 345,969 × 345,969
  4. Step 4: Simplify right side
    236,514x = 119,694,548,961
  5. Step 5: Solve for x
    x = 119,694,548,961/236,514
  6. Step 6: Final answer
    x = 506,078.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.