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Finding the Third Proportional to 166,392 and 364,270.50

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Solution

The third proportional to 166,392 and 364,270.50 is: 797,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,392 : 364,270.50 = 364,270.50 : x
  2. Step 2: Convert to fraction form
    166,392/364,270.50 = 364,270.50/x
  3. Step 3: Cross multiply
    166,392x = 364,270.50 × 364,270.50
  4. Step 4: Simplify right side
    166,392x = 132,692,997,170.25
  5. Step 5: Solve for x
    x = 132,692,997,170.25/166,392
  6. Step 6: Final answer
    x = 797,472.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.