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Finding the Third Proportional to 238,180.50 and 515,241

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Solution

The third proportional to 238,180.50 and 515,241 is: 1,114,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,180.50 : 515,241 = 515,241 : x
  2. Step 2: Convert to fraction form
    238,180.50/515,241 = 515,241/x
  3. Step 3: Cross multiply
    238,180.50x = 515,241 × 515,241
  4. Step 4: Simplify right side
    238,180.50x = 265,473,288,081
  5. Step 5: Solve for x
    x = 265,473,288,081/238,180.50
  6. Step 6: Final answer
    x = 1,114,588.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.