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Finding the Third Proportional to 166,365 and 255,973

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Solution

The third proportional to 166,365 and 255,973 is: 393,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,365 : 255,973 = 255,973 : x
  2. Step 2: Convert to fraction form
    166,365/255,973 = 255,973/x
  3. Step 3: Cross multiply
    166,365x = 255,973 × 255,973
  4. Step 4: Simplify right side
    166,365x = 65,522,176,729
  5. Step 5: Solve for x
    x = 65,522,176,729/166,365
  6. Step 6: Final answer
    x = 393,845.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.