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Finding the Third Proportional to 150,126 and 324,312

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Solution

The third proportional to 150,126 and 324,312 is: 700,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,126 : 324,312 = 324,312 : x
  2. Step 2: Convert to fraction form
    150,126/324,312 = 324,312/x
  3. Step 3: Cross multiply
    150,126x = 324,312 × 324,312
  4. Step 4: Simplify right side
    150,126x = 105,178,273,344
  5. Step 5: Solve for x
    x = 105,178,273,344/150,126
  6. Step 6: Final answer
    x = 700,599.98

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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.