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Finding the Third Proportional to 175,014 and 264,125

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Solution

The third proportional to 175,014 and 264,125 is: 398,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,014 : 264,125 = 264,125 : x
  2. Step 2: Convert to fraction form
    175,014/264,125 = 264,125/x
  3. Step 3: Cross multiply
    175,014x = 264,125 × 264,125
  4. Step 4: Simplify right side
    175,014x = 69,762,015,625
  5. Step 5: Solve for x
    x = 69,762,015,625/175,014
  6. Step 6: Final answer
    x = 398,608.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.