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Finding the Third Proportional to 186,884 and 290,172

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Solution

The third proportional to 186,884 and 290,172 is: 450,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,884 : 290,172 = 290,172 : x
  2. Step 2: Convert to fraction form
    186,884/290,172 = 290,172/x
  3. Step 3: Cross multiply
    186,884x = 290,172 × 290,172
  4. Step 4: Simplify right side
    186,884x = 84,199,789,584
  5. Step 5: Solve for x
    x = 84,199,789,584/186,884
  6. Step 6: Final answer
    x = 450,545.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.