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Finding the Third Proportional to 171,368 and 263,580

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Solution

The third proportional to 171,368 and 263,580 is: 405,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,368 : 263,580 = 263,580 : x
  2. Step 2: Convert to fraction form
    171,368/263,580 = 263,580/x
  3. Step 3: Cross multiply
    171,368x = 263,580 × 263,580
  4. Step 4: Simplify right side
    171,368x = 69,474,416,400
  5. Step 5: Solve for x
    x = 69,474,416,400/171,368
  6. Step 6: Final answer
    x = 405,410.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.