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Finding the Third Proportional to 194,294.81 and 420,190.13

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Solution

The third proportional to 194,294.81 and 420,190.13 is: 908,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,294.81 : 420,190.13 = 420,190.13 : x
  2. Step 2: Convert to fraction form
    194,294.81/420,190.13 = 420,190.13/x
  3. Step 3: Cross multiply
    194,294.81x = 420,190.13 × 420,190.13
  4. Step 4: Simplify right side
    194,294.81x = 176,559,741,147.52
  5. Step 5: Solve for x
    x = 176,559,741,147.52/194,294.81
  6. Step 6: Final answer
    x = 908,720.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.