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Finding the Third Proportional to 150,966 and 356,410

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Solution

The third proportional to 150,966 and 356,410 is: 841,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,966 : 356,410 = 356,410 : x
  2. Step 2: Convert to fraction form
    150,966/356,410 = 356,410/x
  3. Step 3: Cross multiply
    150,966x = 356,410 × 356,410
  4. Step 4: Simplify right side
    150,966x = 127,028,088,100
  5. Step 5: Solve for x
    x = 127,028,088,100/150,966
  6. Step 6: Final answer
    x = 841,435.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.