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Finding the Third Proportional to 186,076.69 and 403,659.84

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Solution

The third proportional to 186,076.69 and 403,659.84 is: 875,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,076.69 : 403,659.84 = 403,659.84 : x
  2. Step 2: Convert to fraction form
    186,076.69/403,659.84 = 403,659.84/x
  3. Step 3: Cross multiply
    186,076.69x = 403,659.84 × 403,659.84
  4. Step 4: Simplify right side
    186,076.69x = 162,941,269,456.27
  5. Step 5: Solve for x
    x = 162,941,269,456.27/186,076.69
  6. Step 6: Final answer
    x = 875,667.29

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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.