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Finding the Third Proportional to 186,975 and 400,221

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Solution

The third proportional to 186,975 and 400,221 is: 856,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,975 : 400,221 = 400,221 : x
  2. Step 2: Convert to fraction form
    186,975/400,221 = 400,221/x
  3. Step 3: Cross multiply
    186,975x = 400,221 × 400,221
  4. Step 4: Simplify right side
    186,975x = 160,176,848,841
  5. Step 5: Solve for x
    x = 160,176,848,841/186,975
  6. Step 6: Final answer
    x = 856,675.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.