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Finding the Third Proportional to 239,664 and 373,912

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Solution

The third proportional to 239,664 and 373,912 is: 583,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,664 : 373,912 = 373,912 : x
  2. Step 2: Convert to fraction form
    239,664/373,912 = 373,912/x
  3. Step 3: Cross multiply
    239,664x = 373,912 × 373,912
  4. Step 4: Simplify right side
    239,664x = 139,810,183,744
  5. Step 5: Solve for x
    x = 139,810,183,744/239,664
  6. Step 6: Final answer
    x = 583,359.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.