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Finding the Third Proportional to 186,076.50 and 403,659.75

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Solution

The third proportional to 186,076.50 and 403,659.75 is: 875,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,076.50 : 403,659.75 = 403,659.75 : x
  2. Step 2: Convert to fraction form
    186,076.50/403,659.75 = 403,659.75/x
  3. Step 3: Cross multiply
    186,076.50x = 403,659.75 × 403,659.75
  4. Step 4: Simplify right side
    186,076.50x = 162,941,193,770.06
  5. Step 5: Solve for x
    x = 162,941,193,770.06/186,076.50
  6. Step 6: Final answer
    x = 875,667.77

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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.