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Finding the Third Proportional to 166,077 and 243,579

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Solution

The third proportional to 166,077 and 243,579 is: 357,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,077 : 243,579 = 243,579 : x
  2. Step 2: Convert to fraction form
    166,077/243,579 = 243,579/x
  3. Step 3: Cross multiply
    166,077x = 243,579 × 243,579
  4. Step 4: Simplify right side
    166,077x = 59,330,729,241
  5. Step 5: Solve for x
    x = 59,330,729,241/166,077
  6. Step 6: Final answer
    x = 357,248.32

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Why These Related Problems?

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