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Finding the Third Proportional to 181,592 and 300,108

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Solution

The third proportional to 181,592 and 300,108 is: 495,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,592 : 300,108 = 300,108 : x
  2. Step 2: Convert to fraction form
    181,592/300,108 = 300,108/x
  3. Step 3: Cross multiply
    181,592x = 300,108 × 300,108
  4. Step 4: Simplify right side
    181,592x = 90,064,811,664
  5. Step 5: Solve for x
    x = 90,064,811,664/181,592
  6. Step 6: Final answer
    x = 495,973.46

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.