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Finding the Third Proportional to 150,460 and 324,424

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Solution

The third proportional to 150,460 and 324,424 is: 699,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,460 : 324,424 = 324,424 : x
  2. Step 2: Convert to fraction form
    150,460/324,424 = 324,424/x
  3. Step 3: Cross multiply
    150,460x = 324,424 × 324,424
  4. Step 4: Simplify right side
    150,460x = 105,250,931,776
  5. Step 5: Solve for x
    x = 105,250,931,776/150,460
  6. Step 6: Final answer
    x = 699,527.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.