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Finding the Third Proportional to 236,424 and 345,834

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Solution

The third proportional to 236,424 and 345,834 is: 505,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,424 : 345,834 = 345,834 : x
  2. Step 2: Convert to fraction form
    236,424/345,834 = 345,834/x
  3. Step 3: Cross multiply
    236,424x = 345,834 × 345,834
  4. Step 4: Simplify right side
    236,424x = 119,601,155,556
  5. Step 5: Solve for x
    x = 119,601,155,556/236,424
  6. Step 6: Final answer
    x = 505,875.70

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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.