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Finding the Third Proportional to 191,604 and 290,055

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Solution

The third proportional to 191,604 and 290,055 is: 439,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,604 : 290,055 = 290,055 : x
  2. Step 2: Convert to fraction form
    191,604/290,055 = 290,055/x
  3. Step 3: Cross multiply
    191,604x = 290,055 × 290,055
  4. Step 4: Simplify right side
    191,604x = 84,131,903,025
  5. Step 5: Solve for x
    x = 84,131,903,025/191,604
  6. Step 6: Final answer
    x = 439,092.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.