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Finding the Third Proportional to 150,966 and 308,487

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Solution

The third proportional to 150,966 and 308,487 is: 630,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,966 : 308,487 = 308,487 : x
  2. Step 2: Convert to fraction form
    150,966/308,487 = 308,487/x
  3. Step 3: Cross multiply
    150,966x = 308,487 × 308,487
  4. Step 4: Simplify right side
    150,966x = 95,164,229,169
  5. Step 5: Solve for x
    x = 95,164,229,169/150,966
  6. Step 6: Final answer
    x = 630,368.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.