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Finding the Third Proportional to 166,596 and 243,642

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Solution

The third proportional to 166,596 and 243,642 is: 356,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,596 : 243,642 = 243,642 : x
  2. Step 2: Convert to fraction form
    166,596/243,642 = 243,642/x
  3. Step 3: Cross multiply
    166,596x = 243,642 × 243,642
  4. Step 4: Simplify right side
    166,596x = 59,361,424,164
  5. Step 5: Solve for x
    x = 59,361,424,164/166,596
  6. Step 6: Final answer
    x = 356,319.62

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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.