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Finding the Third Proportional to 166,492 and 356,804

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Solution

The third proportional to 166,492 and 356,804 is: 764,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,492 : 356,804 = 356,804 : x
  2. Step 2: Convert to fraction form
    166,492/356,804 = 356,804/x
  3. Step 3: Cross multiply
    166,492x = 356,804 × 356,804
  4. Step 4: Simplify right side
    166,492x = 127,309,094,416
  5. Step 5: Solve for x
    x = 127,309,094,416/166,492
  6. Step 6: Final answer
    x = 764,655.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.