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Finding the Third Proportional to 187,278 and 406,308

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Solution

The third proportional to 187,278 and 406,308 is: 881,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,278 : 406,308 = 406,308 : x
  2. Step 2: Convert to fraction form
    187,278/406,308 = 406,308/x
  3. Step 3: Cross multiply
    187,278x = 406,308 × 406,308
  4. Step 4: Simplify right side
    187,278x = 165,086,190,864
  5. Step 5: Solve for x
    x = 165,086,190,864/187,278
  6. Step 6: Final answer
    x = 881,503.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.