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Finding the Third Proportional to 175,523 and 264,523

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Solution

The third proportional to 175,523 and 264,523 is: 398,650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,523 : 264,523 = 264,523 : x
  2. Step 2: Convert to fraction form
    175,523/264,523 = 264,523/x
  3. Step 3: Cross multiply
    175,523x = 264,523 × 264,523
  4. Step 4: Simplify right side
    175,523x = 69,972,417,529
  5. Step 5: Solve for x
    x = 69,972,417,529/175,523
  6. Step 6: Final answer
    x = 398,650.99

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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.