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Finding the Third Proportional to 236,426 and 345,837

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Solution

The third proportional to 236,426 and 345,837 is: 505,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,426 : 345,837 = 345,837 : x
  2. Step 2: Convert to fraction form
    236,426/345,837 = 345,837/x
  3. Step 3: Cross multiply
    236,426x = 345,837 × 345,837
  4. Step 4: Simplify right side
    236,426x = 119,603,230,569
  5. Step 5: Solve for x
    x = 119,603,230,569/236,426
  6. Step 6: Final answer
    x = 505,880.19

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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.