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Finding the Third Proportional to 151,335 and 332,064

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Solution

The third proportional to 151,335 and 332,064 is: 728,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,335 : 332,064 = 332,064 : x
  2. Step 2: Convert to fraction form
    151,335/332,064 = 332,064/x
  3. Step 3: Cross multiply
    151,335x = 332,064 × 332,064
  4. Step 4: Simplify right side
    151,335x = 110,266,500,096
  5. Step 5: Solve for x
    x = 110,266,500,096/151,335
  6. Step 6: Final answer
    x = 728,625.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.