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Finding the Third Proportional to 190,629 and 254,142

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Solution

The third proportional to 190,629 and 254,142 is: 338,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,629 : 254,142 = 254,142 : x
  2. Step 2: Convert to fraction form
    190,629/254,142 = 254,142/x
  3. Step 3: Cross multiply
    190,629x = 254,142 × 254,142
  4. Step 4: Simplify right side
    190,629x = 64,588,156,164
  5. Step 5: Solve for x
    x = 64,588,156,164/190,629
  6. Step 6: Final answer
    x = 338,816.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.