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Finding the Third Proportional to 194,600.29 and 418,302.19

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Solution

The third proportional to 194,600.29 and 418,302.19 is: 899,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,600.29 : 418,302.19 = 418,302.19 : x
  2. Step 2: Convert to fraction form
    194,600.29/418,302.19 = 418,302.19/x
  3. Step 3: Cross multiply
    194,600.29x = 418,302.19 × 418,302.19
  4. Step 4: Simplify right side
    194,600.29x = 174,976,724,969.25
  5. Step 5: Solve for x
    x = 174,976,724,969.25/194,600.29
  6. Step 6: Final answer
    x = 899,159.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.