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Finding the Third Proportional to 150,916 and 316,520

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Solution

The third proportional to 150,916 and 316,520 is: 663,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,916 : 316,520 = 316,520 : x
  2. Step 2: Convert to fraction form
    150,916/316,520 = 316,520/x
  3. Step 3: Cross multiply
    150,916x = 316,520 × 316,520
  4. Step 4: Simplify right side
    150,916x = 100,184,910,400
  5. Step 5: Solve for x
    x = 100,184,910,400/150,916
  6. Step 6: Final answer
    x = 663,845.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.