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Finding the Third Proportional to 166,536 and 243,945

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Solution

The third proportional to 166,536 and 243,945 is: 357,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,536 : 243,945 = 243,945 : x
  2. Step 2: Convert to fraction form
    166,536/243,945 = 243,945/x
  3. Step 3: Cross multiply
    166,536x = 243,945 × 243,945
  4. Step 4: Simplify right side
    166,536x = 59,509,163,025
  5. Step 5: Solve for x
    x = 59,509,163,025/166,536
  6. Step 6: Final answer
    x = 357,335.13

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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.