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Finding the Third Proportional to 187,090 and 404,308

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Solution

The third proportional to 187,090 and 404,308 is: 873,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,090 : 404,308 = 404,308 : x
  2. Step 2: Convert to fraction form
    187,090/404,308 = 404,308/x
  3. Step 3: Cross multiply
    187,090x = 404,308 × 404,308
  4. Step 4: Simplify right side
    187,090x = 163,464,958,864
  5. Step 5: Solve for x
    x = 163,464,958,864/187,090
  6. Step 6: Final answer
    x = 873,723.66

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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.