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Finding the Third Proportional to 153,096 and 324,728

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Solution

The third proportional to 153,096 and 324,728 is: 688,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,096 : 324,728 = 324,728 : x
  2. Step 2: Convert to fraction form
    153,096/324,728 = 324,728/x
  3. Step 3: Cross multiply
    153,096x = 324,728 × 324,728
  4. Step 4: Simplify right side
    153,096x = 105,448,273,984
  5. Step 5: Solve for x
    x = 105,448,273,984/153,096
  6. Step 6: Final answer
    x = 688,772.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.