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Finding the Third Proportional to 164,472 and 246,045

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Solution

The third proportional to 164,472 and 246,045 is: 368,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,472 : 246,045 = 246,045 : x
  2. Step 2: Convert to fraction form
    164,472/246,045 = 246,045/x
  3. Step 3: Cross multiply
    164,472x = 246,045 × 246,045
  4. Step 4: Simplify right side
    164,472x = 60,538,142,025
  5. Step 5: Solve for x
    x = 60,538,142,025/164,472
  6. Step 6: Final answer
    x = 368,075.67

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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.