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Finding the Third Proportional to 151,064 and 331,952

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Solution

The third proportional to 151,064 and 331,952 is: 729,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,064 : 331,952 = 331,952 : x
  2. Step 2: Convert to fraction form
    151,064/331,952 = 331,952/x
  3. Step 3: Cross multiply
    151,064x = 331,952 × 331,952
  4. Step 4: Simplify right side
    151,064x = 110,192,130,304
  5. Step 5: Solve for x
    x = 110,192,130,304/151,064
  6. Step 6: Final answer
    x = 729,440.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.