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Finding the Third Proportional to 166,579 and 243,645

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Solution

The third proportional to 166,579 and 243,645 is: 356,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,579 : 243,645 = 243,645 : x
  2. Step 2: Convert to fraction form
    166,579/243,645 = 243,645/x
  3. Step 3: Cross multiply
    166,579x = 243,645 × 243,645
  4. Step 4: Simplify right side
    166,579x = 59,362,886,025
  5. Step 5: Solve for x
    x = 59,362,886,025/166,579
  6. Step 6: Final answer
    x = 356,364.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.