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Finding the Third Proportional to 69,240 and 150,576

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Solution

The third proportional to 69,240 and 150,576 is: 327,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,240 : 150,576 = 150,576 : x
  2. Step 2: Convert to fraction form
    69,240/150,576 = 150,576/x
  3. Step 3: Cross multiply
    69,240x = 150,576 × 150,576
  4. Step 4: Simplify right side
    69,240x = 22,673,131,776
  5. Step 5: Solve for x
    x = 22,673,131,776/69,240
  6. Step 6: Final answer
    x = 327,457.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.