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Finding the Third Proportional to 175,551 and 264,561

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Solution

The third proportional to 175,551 and 264,561 is: 398,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,551 : 264,561 = 264,561 : x
  2. Step 2: Convert to fraction form
    175,551/264,561 = 264,561/x
  3. Step 3: Cross multiply
    175,551x = 264,561 × 264,561
  4. Step 4: Simplify right side
    175,551x = 69,992,522,721
  5. Step 5: Solve for x
    x = 69,992,522,721/175,551
  6. Step 6: Final answer
    x = 398,701.93

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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.