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Finding the Third Proportional to 164,064 and 250,896

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Solution

The third proportional to 164,064 and 250,896 is: 383,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,064 : 250,896 = 250,896 : x
  2. Step 2: Convert to fraction form
    164,064/250,896 = 250,896/x
  3. Step 3: Cross multiply
    164,064x = 250,896 × 250,896
  4. Step 4: Simplify right side
    164,064x = 62,948,802,816
  5. Step 5: Solve for x
    x = 62,948,802,816/164,064
  6. Step 6: Final answer
    x = 383,684.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.