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Finding the Third Proportional to 258,936 and 349,842

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Solution

The third proportional to 258,936 and 349,842 is: 472,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,936 : 349,842 = 349,842 : x
  2. Step 2: Convert to fraction form
    258,936/349,842 = 349,842/x
  3. Step 3: Cross multiply
    258,936x = 349,842 × 349,842
  4. Step 4: Simplify right side
    258,936x = 122,389,424,964
  5. Step 5: Solve for x
    x = 122,389,424,964/258,936
  6. Step 6: Final answer
    x = 472,662.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.