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Finding the Third Proportional to 175,539 and 264,858

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Solution

The third proportional to 175,539 and 264,858 is: 399,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,539 : 264,858 = 264,858 : x
  2. Step 2: Convert to fraction form
    175,539/264,858 = 264,858/x
  3. Step 3: Cross multiply
    175,539x = 264,858 × 264,858
  4. Step 4: Simplify right side
    175,539x = 70,149,760,164
  5. Step 5: Solve for x
    x = 70,149,760,164/175,539
  6. Step 6: Final answer
    x = 399,624.93

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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.