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Finding the Third Proportional to 175,541 and 264,119

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Solution

The third proportional to 175,541 and 264,119 is: 397,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,541 : 264,119 = 264,119 : x
  2. Step 2: Convert to fraction form
    175,541/264,119 = 264,119/x
  3. Step 3: Cross multiply
    175,541x = 264,119 × 264,119
  4. Step 4: Simplify right side
    175,541x = 69,758,846,161
  5. Step 5: Solve for x
    x = 69,758,846,161/175,541
  6. Step 6: Final answer
    x = 397,393.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.