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Finding the Third Proportional to 160,462 and 246,664

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Solution

The third proportional to 160,462 and 246,664 is: 379,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,462 : 246,664 = 246,664 : x
  2. Step 2: Convert to fraction form
    160,462/246,664 = 246,664/x
  3. Step 3: Cross multiply
    160,462x = 246,664 × 246,664
  4. Step 4: Simplify right side
    160,462x = 60,843,128,896
  5. Step 5: Solve for x
    x = 60,843,128,896/160,462
  6. Step 6: Final answer
    x = 379,174.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.