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Finding the Third Proportional to 166,148.25 and 364,463.63

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Solution

The third proportional to 166,148.25 and 364,463.63 is: 799,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,148.25 : 364,463.63 = 364,463.63 : x
  2. Step 2: Convert to fraction form
    166,148.25/364,463.63 = 364,463.63/x
  3. Step 3: Cross multiply
    166,148.25x = 364,463.63 × 364,463.63
  4. Step 4: Simplify right side
    166,148.25x = 132,833,733,948.14
  5. Step 5: Solve for x
    x = 132,833,733,948.14/166,148.25
  6. Step 6: Final answer
    x = 799,489.21

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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.