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Finding the Third Proportional to 238,780 and 372,696

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Solution

The third proportional to 238,780 and 372,696 is: 581,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,780 : 372,696 = 372,696 : x
  2. Step 2: Convert to fraction form
    238,780/372,696 = 372,696/x
  3. Step 3: Cross multiply
    238,780x = 372,696 × 372,696
  4. Step 4: Simplify right side
    238,780x = 138,902,308,416
  5. Step 5: Solve for x
    x = 138,902,308,416/238,780
  6. Step 6: Final answer
    x = 581,716.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.