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Finding the Third Proportional to 166,797 and 245,784

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Solution

The third proportional to 166,797 and 245,784 is: 362,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,797 : 245,784 = 245,784 : x
  2. Step 2: Convert to fraction form
    166,797/245,784 = 245,784/x
  3. Step 3: Cross multiply
    166,797x = 245,784 × 245,784
  4. Step 4: Simplify right side
    166,797x = 60,409,774,656
  5. Step 5: Solve for x
    x = 60,409,774,656/166,797
  6. Step 6: Final answer
    x = 362,175.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.