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Finding the Third Proportional to 194,541.75 and 290,577.38

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Solution

The third proportional to 194,541.75 and 290,577.38 is: 434,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,541.75 : 290,577.38 = 290,577.38 : x
  2. Step 2: Convert to fraction form
    194,541.75/290,577.38 = 290,577.38/x
  3. Step 3: Cross multiply
    194,541.75x = 290,577.38 × 290,577.38
  4. Step 4: Simplify right side
    194,541.75x = 84,435,210,861.89
  5. Step 5: Solve for x
    x = 84,435,210,861.89/194,541.75
  6. Step 6: Final answer
    x = 434,021.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.