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Finding the Third Proportional to 175,263 and 262,597

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Solution

The third proportional to 175,263 and 262,597 is: 393,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,263 : 262,597 = 262,597 : x
  2. Step 2: Convert to fraction form
    175,263/262,597 = 262,597/x
  3. Step 3: Cross multiply
    175,263x = 262,597 × 262,597
  4. Step 4: Simplify right side
    175,263x = 68,957,184,409
  5. Step 5: Solve for x
    x = 68,957,184,409/175,263
  6. Step 6: Final answer
    x = 393,449.75

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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.