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Finding the Third Proportional to 187,841 and 275,018

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Solution

The third proportional to 187,841 and 275,018 is: 402,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,841 : 275,018 = 275,018 : x
  2. Step 2: Convert to fraction form
    187,841/275,018 = 275,018/x
  3. Step 3: Cross multiply
    187,841x = 275,018 × 275,018
  4. Step 4: Simplify right side
    187,841x = 75,634,900,324
  5. Step 5: Solve for x
    x = 75,634,900,324/187,841
  6. Step 6: Final answer
    x = 402,653.84

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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.