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Finding the Third Proportional to 152,361 and 236,145.38

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Solution

The third proportional to 152,361 and 236,145.38 is: 366,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,361 : 236,145.38 = 236,145.38 : x
  2. Step 2: Convert to fraction form
    152,361/236,145.38 = 236,145.38/x
  3. Step 3: Cross multiply
    152,361x = 236,145.38 × 236,145.38
  4. Step 4: Simplify right side
    152,361x = 55,764,638,133.89
  5. Step 5: Solve for x
    x = 55,764,638,133.89/152,361
  6. Step 6: Final answer
    x = 366,003.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.