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Finding the Third Proportional to 166,218 and 363,594

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Solution

The third proportional to 166,218 and 363,594 is: 795,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,218 : 363,594 = 363,594 : x
  2. Step 2: Convert to fraction form
    166,218/363,594 = 363,594/x
  3. Step 3: Cross multiply
    166,218x = 363,594 × 363,594
  4. Step 4: Simplify right side
    166,218x = 132,200,596,836
  5. Step 5: Solve for x
    x = 132,200,596,836/166,218
  6. Step 6: Final answer
    x = 795,344.65

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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.