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Finding the Third Proportional to 190,137.38 and 284,613.75

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Solution

The third proportional to 190,137.38 and 284,613.75 is: 426,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,137.38 : 284,613.75 = 284,613.75 : x
  2. Step 2: Convert to fraction form
    190,137.38/284,613.75 = 284,613.75/x
  3. Step 3: Cross multiply
    190,137.38x = 284,613.75 × 284,613.75
  4. Step 4: Simplify right side
    190,137.38x = 81,004,986,689.06
  5. Step 5: Solve for x
    x = 81,004,986,689.06/190,137.38
  6. Step 6: Final answer
    x = 426,034.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.