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Finding the Third Proportional to 164,413 and 246,642

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Solution

The third proportional to 164,413 and 246,642 is: 369,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,413 : 246,642 = 246,642 : x
  2. Step 2: Convert to fraction form
    164,413/246,642 = 246,642/x
  3. Step 3: Cross multiply
    164,413x = 246,642 × 246,642
  4. Step 4: Simplify right side
    164,413x = 60,832,276,164
  5. Step 5: Solve for x
    x = 60,832,276,164/164,413
  6. Step 6: Final answer
    x = 369,996.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.